GCD of 974, 828, 638, 660 Calculator

Given Input numbers are 974, 828, 638, 660

In the factoring method, we have to find the divisors of all numbers

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (974, 828, 638, 660) = 2.

Given numbers are 974, 828, 638, 660

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 638 are 2 x 11 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 974, 828, 638, 660 is 2.

Given numbers are 974, 828, 638, 660

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(974, 828) = 403236

GCD(974, 828) = ( 974 x 828 ) / 403236

= 974 / 828

= 974

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 974, 828, 638, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 139, 306, 276
• GCD of 974, 268, 495, 763
• GCD of 933, 688, 117, 355
• GCD of 813, 210, 352, 791
• GCD of 356, 204, 291, 250

Given numbers are 974, 828, 638, 660
The greatest common divisor of numbers 974, 828, 638, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 828, 638, 660 is 2.

1. What is the GCD of 974, 828, 638, 660?

GCD of given numbers 974, 828, 638, 660 is 2

2. How to calculate the greatest common divisor of 974, 828, 638, 660?

We can find the highest common divisor of 974, 828, 638, 660 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 974, 828, 638, 660 i.e 2.

3. How can I use the GCD of 974, 828, 638, 660Calculator?

Out the numbers 974, 828, 638, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.