How do you find the GCD of two numbers in assembly language program?

How do you find the GCD of two numbers in assembly language program?

Explanation:

1. Load value d1 in ax and d2 in bx.
2. Call the gcd function.
3. If value in bx is zero.
4. Then set the value of gcd ( CX ) as ax.
5. Else set the value of ax as bx and value of bx as ax % bx.
6. Call the gcd function recursively.
7. Load the value of cx into ax.
8. Call the print function to print the gcd of two numbers.

What is GCD in algorithm?

Google Classroom Facebook Twitter. Recall that the Greatest Common Divisor (GCD) of two integers A and B is the largest integer that divides both A and B. The Euclidean Algorithm is a technique for quickly finding the GCD of two integers.

What is GCD in programming?

GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. The idea is, GCD of two numbers doesn’t change if smaller number is subtracted from a bigger number.

How do you do the GCD method?

The steps to calculate the GCD of (a, b) using the LCM method is:

1. Step 1: Find the product of a and b.
2. Step 2: Find the least common multiple (LCM) of a and b.
3. Step 3: Divide the values obtained in Step 1 and Step 2.
4. Step 4: The obtained value after division is the greatest common divisor of (a, b).

How do you find the LCM in assembly language?

ALGORITHM:

1. Start.
2. Store first number(num1) in a register.
3. Store second number(num2) in another register.
4. Initialize a counter register(Rd) to 01h.
5. Compare both the values num1 and num2.
6. Multiply num2 and Rd and divide the product with num1.
7. Check the reminder.
8. Stop.

Can 1 be a GCD?

Similarly, the factors (divisors) of 27 are 1,3,9,27. 16—> 1,2,4,8,16 27—> 1,3,9,27. So, checking the highest/greatest common factor(h/gcf) OR greatest common divisor(gcd) of both the numbers, we find the gcd to be 1.

Is GCD and HCF are same?

HCF is also known as Greatest Common Divisor (GCD). To find the HCF of two or more numbers, express each number as product of prime numbers.

How do you prove GCD is 1?

If a and b are integers such that there are integers x and y with ax + by = 1, then gcd(a, b)=1. Proposition 13. If gcd(a, b) = 1 and gcd(a, c) = 1, then gcd(a, bc) = 1. That is if a number is relatively prime to two numbers, then it is relatively prime to their product.

What is HCF also called?

The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor. It is also called the Greatest Common Measure(GCM) and Greatest Common Divisor(GCD).

How to find GCD of two numbers in assembly language?

GCD of Two Numbers program in Assembly Language. If it is zero, the divisor is the GCD if not the remainder and the divisor of the previous division are the new set of two numbers. The process is repeated by dividing greater of the two numbers by the smaller number till the remainder is zero and GCD is found.

When to use GCD of two numbers program?

If it is zero, the divisor is the GCD if not the remainder and the divisor of the previous division are the new set of two numbers. The process is repeated by dividing greater of the two numbers by the smaller number till the remainder is zero and GCD is found.

Do you need to swap for gcd in NASM?

There’s no need to swap for GCD. If the divisor is greater than the dividend, the quotient is zero and the remainder is the dividend, so the first step of GCD will do the swap automatically if it’s needed. There’s no need to keep storing the intermediate results into intX and intY.