GCD of 638, 312, 659, 852 Calculator

Given Input numbers are 638, 312, 659, 852

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

Divisors of 638 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (638, 312, 659, 852) = 1.

Given numbers are 638, 312, 659, 852

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 659 are 659

Prime factors of 852 are 2 x 2 x 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 638, 312, 659, 852

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

Apply this formula for all numbers.

Step1:

LCM(638, 312) = 99528

GCD(638, 312) = ( 638 x 312 ) / 99528

= 638 / 312

= 638

Step2:

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

= 2 / 659

= 2

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 638, 312, 659, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 746, 718, 437
• GCD of 306, 922, 866, 631
• GCD of 972, 417, 922, 255
• GCD of 379, 943, 410, 939
• GCD of 966, 324, 995, 908

Given numbers are 638, 312, 659, 852
The greatest common divisor of numbers 638, 312, 659, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 312, 659, 852 is 1.

1. What is the GCD of 638, 312, 659, 852?

GCD of given numbers 638, 312, 659, 852 is 1

2. How to calculate the greatest common divisor of 638, 312, 659, 852?

We can find the highest common divisor of 638, 312, 659, 852 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 638, 312, 659, 852 i.e 1.

3. How can I use the GCD of 638, 312, 659, 852Calculator?

Out the numbers 638, 312, 659, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.