GCD of 634, 126, 580, 772 Calculator

Given Input numbers are 634, 126, 580, 772

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (634, 126, 580, 772) = 2.

Given numbers are 634, 126, 580, 772

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 634, 126, 580, 772 is 2.

Given numbers are 634, 126, 580, 772

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

Apply this formula for all numbers.

Step1:

LCM(634, 126) = 39942

GCD(634, 126) = ( 634 x 126 ) / 39942

= 634 / 126

= 634

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 634, 126, 580, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 612, 177, 175
• GCD of 109, 683, 478, 212
• GCD of 680, 123, 934, 149
• GCD of 808, 200, 516, 790
• GCD of 737, 402, 341, 476

Given numbers are 634, 126, 580, 772
The greatest common divisor of numbers 634, 126, 580, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 126, 580, 772 is 2.

1. What is the GCD of 634, 126, 580, 772?

GCD of given numbers 634, 126, 580, 772 is 2

2. How to calculate the greatest common divisor of 634, 126, 580, 772?

We can find the highest common divisor of 634, 126, 580, 772 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 634, 126, 580, 772 i.e 2.

3. How can I use the GCD of 634, 126, 580, 772Calculator?

Out the numbers 634, 126, 580, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.