GCD of 687, 978, 296, 676 Calculator

Given Input numbers are 687, 978, 296, 676

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (687, 978, 296, 676) = 1.

Given numbers are 687, 978, 296, 676

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 978 are 2 x 3 x 163

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 687, 978, 296, 676

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

Apply this formula for all numbers.

Step1:

LCM(687, 978) = 223962

GCD(687, 978) = ( 687 x 978 ) / 223962

= 687 / 978

= 687

Step2:

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

= 3 / 296

= 3

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 687, 978, 296, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 225, 739, 572
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Given numbers are 687, 978, 296, 676
The greatest common divisor of numbers 687, 978, 296, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 978, 296, 676 is 1.

1. What is the GCD of 687, 978, 296, 676?

GCD of given numbers 687, 978, 296, 676 is 1

2. How to calculate the greatest common divisor of 687, 978, 296, 676?

We can find the highest common divisor of 687, 978, 296, 676 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 687, 978, 296, 676 i.e 1.

3. How can I use the GCD of 687, 978, 296, 676Calculator?

Out the numbers 687, 978, 296, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.