GCD of 686, 976, 987, 462 Calculator

Given Input numbers are 686, 976, 987, 462

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (686, 976, 987, 462) = 1.

Given numbers are 686, 976, 987, 462

The list of prime factors of all numbers are

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 987 are 3 x 7 x 47

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 686, 976, 987, 462

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

Apply this formula for all numbers.

Step1:

LCM(686, 976) = 334768

GCD(686, 976) = ( 686 x 976 ) / 334768

= 686 / 976

= 686

Step2:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 686, 976, 987, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 262, 280, 663
• GCD of 228, 739, 727, 869
• GCD of 144, 467, 785, 883
• GCD of 204, 170, 202, 607
• GCD of 398, 650, 600, 675

Given numbers are 686, 976, 987, 462
The greatest common divisor of numbers 686, 976, 987, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 976, 987, 462 is 1.

1. What is the GCD of 686, 976, 987, 462?

GCD of given numbers 686, 976, 987, 462 is 1

2. How to calculate the greatest common divisor of 686, 976, 987, 462?

We can find the highest common divisor of 686, 976, 987, 462 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, 976, 987, 462 i.e 1.

3. How can I use the GCD of 686, 976, 987, 462Calculator?

Out the numbers 686, 976, 987, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.