GCD of 872, 117, 920, 688 Calculator

Given Input numbers are 872, 117, 920, 688

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (872, 117, 920, 688) = 1.

Given numbers are 872, 117, 920, 688

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 117 are 3 x 3 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 872, 117, 920, 688

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

Apply this formula for all numbers.

Step1:

LCM(872, 117) = 102024

GCD(872, 117) = ( 872 x 117 ) / 102024

= 872 / 117

= 872

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 872, 117, 920, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 746, 140, 843
• GCD of 921, 744, 140, 418
• GCD of 834, 156, 351, 579
• GCD of 832, 164, 535, 989
• GCD of 522, 508, 369, 939

Given numbers are 872, 117, 920, 688
The greatest common divisor of numbers 872, 117, 920, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 117, 920, 688 is 1.

1. What is the GCD of 872, 117, 920, 688?

GCD of given numbers 872, 117, 920, 688 is 1

2. How to calculate the greatest common divisor of 872, 117, 920, 688?

We can find the highest common divisor of 872, 117, 920, 688 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 872, 117, 920, 688 i.e 1.

3. How can I use the GCD of 872, 117, 920, 688Calculator?

Out the numbers 872, 117, 920, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.