GCD of 686, 369, 990, 972 Calculator

Given Input numbers are 686, 369, 990, 972

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (686, 369, 990, 972) = 1.

Given numbers are 686, 369, 990, 972

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 686, 369, 990, 972

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

Apply this formula for all numbers.

Step1:

LCM(686, 369) = 253134

GCD(686, 369) = ( 686 x 369 ) / 253134

= 686 / 369

= 686

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 686, 369, 990, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 554, 983, 572
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Given numbers are 686, 369, 990, 972
The greatest common divisor of numbers 686, 369, 990, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 369, 990, 972 is 1.

1. What is the GCD of 686, 369, 990, 972?

GCD of given numbers 686, 369, 990, 972 is 1

2. How to calculate the greatest common divisor of 686, 369, 990, 972?

We can find the highest common divisor of 686, 369, 990, 972 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 686, 369, 990, 972 i.e 1.

3. How can I use the GCD of 686, 369, 990, 972Calculator?

Out the numbers 686, 369, 990, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.