GCD of 634, 564, 464, 108 Calculator

Given Input numbers are 634, 564, 464, 108

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (634, 564, 464, 108) = 2.

Given numbers are 634, 564, 464, 108

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 634, 564, 464, 108 is 2.

Given numbers are 634, 564, 464, 108

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

Apply this formula for all numbers.

Step1:

LCM(634, 564) = 178788

GCD(634, 564) = ( 634 x 564 ) / 178788

= 634 / 564

= 634

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 634, 564, 464, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 749, 978, 655
• GCD of 399, 849, 372, 797
• GCD of 502, 147, 591, 622
• GCD of 775, 242, 894, 696
• GCD of 417, 516, 916, 464

Given numbers are 634, 564, 464, 108
The greatest common divisor of numbers 634, 564, 464, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 564, 464, 108 is 2.

1. What is the GCD of 634, 564, 464, 108?

GCD of given numbers 634, 564, 464, 108 is 2

2. How to calculate the greatest common divisor of 634, 564, 464, 108?

We can find the highest common divisor of 634, 564, 464, 108 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, 564, 464, 108 i.e 2.

3. How can I use the GCD of 634, 564, 464, 108Calculator?

Out the numbers 634, 564, 464, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.