How do you calculate GCD example?

For example, the greatest common factor of 15 and 10 is 5, since both the numbers can be divided by 5.

  1. 15/5 = 3.
  2. 10/5 = 2.
  3. If a and b are two numbers then the greatest common divisor of both the numbers is denoted by gcd(a, b).
  4. Suppose, 4, 8 and 16 are three numbers.
  5. 4 → 1,2,4.
  6. 8 → 1,2,4,8.
  7. 16 → 1,2,4,8,16.

What is GCD how is it calculated?

GCD is the product of the factors that are common to each of the given numbers. Thus, GCD of 60 and 90 = 2 × 3 × 5 = 30. Answer: GCD of 60 and 90 is 30.

What is a GCD in mathematics?

In arithmetic: Fundamental theory. …of these numbers, called their greatest common divisor (GCD). If the GCD = 1, the numbers are said to be relatively prime. There also exists a smallest positive integer that is a multiple of each of the numbers, called their least common multiple (LCM).

What is the GCD of 2 and 4?

2
There are 2 common factors of 2 and 4, that are 1 and 2. Therefore, the greatest common factor of 2 and 4 is 2.

What is the GCD of 10?

10 has for divisors 1,2,5,10. 20 has for divisors 1,2,4,5,10,20. 25 has for divisors 1,5,25. The greatest common divisor is 5.

What is the GCD of 2 and 3?

1
The Greatest Common Factor of 2 and 3 is 1.

How do you find the GCD of two numbers?

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).

What is the GCD of 3 and 6?

3
Therefore, the greatest common factor of 3 and 6 is 3. Example 3: For two numbers, GCF = 3 and LCM = 6. If one number is 3, find the other number. Therefore, the other number is 6.

What is the GCD of 3 and 4?

The Greatest Common Factor of 3 and 4 is 1.