GCD of 979, 440, 684, 687 Calculator

Given Input numbers are 979, 440, 684, 687

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

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (979, 440, 684, 687) = 1.

Given numbers are 979, 440, 684, 687

The list of prime factors of all numbers are

Prime factors of 979 are 11 x 89

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 687 are 3 x 229

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

Given numbers are 979, 440, 684, 687

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

Apply this formula for all numbers.

Step1:

LCM(979, 440) = 39160

GCD(979, 440) = ( 979 x 440 ) / 39160

= 979 / 440

= 979

Step2:

LCM(11, 684) = 7524

GCD(11, 684) = ( 11 x 684 ) / 7524

= 11 / 684

= 11

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 979, 440, 684, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 785, 747, 116
• GCD of 153, 720, 422, 813
• GCD of 267, 917, 772, 680
• GCD of 405, 961, 903, 421
• GCD of 679, 281, 641, 175

Given numbers are 979, 440, 684, 687
The greatest common divisor of numbers 979, 440, 684, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 979, 440, 684, 687 is 1.

1. What is the GCD of 979, 440, 684, 687?

GCD of given numbers 979, 440, 684, 687 is 1

2. How to calculate the greatest common divisor of 979, 440, 684, 687?

We can find the highest common divisor of 979, 440, 684, 687 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 979, 440, 684, 687 i.e 1.

3. How can I use the GCD of 979, 440, 684, 687Calculator?

Out the numbers 979, 440, 684, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.