GCD of 312, 378, 976, 992 Calculator

Given Input numbers are 312, 378, 976, 992

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (312, 378, 976, 992) = 2.

Given numbers are 312, 378, 976, 992

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 312, 378, 976, 992 is 2.

Given numbers are 312, 378, 976, 992

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

Apply this formula for all numbers.

Step1:

LCM(312, 378) = 19656

GCD(312, 378) = ( 312 x 378 ) / 19656

= 312 / 378

= 312

Step2:

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

= 6 / 976

= 6

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 312, 378, 976, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 129, 527, 184
• GCD of 378, 533, 701, 782
• GCD of 816, 666, 961, 291
• GCD of 959, 951, 526, 683
• GCD of 308, 549, 174, 136

Given numbers are 312, 378, 976, 992
The greatest common divisor of numbers 312, 378, 976, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 378, 976, 992 is 2.

1. What is the GCD of 312, 378, 976, 992?

GCD of given numbers 312, 378, 976, 992 is 2

2. How to calculate the greatest common divisor of 312, 378, 976, 992?

We can find the highest common divisor of 312, 378, 976, 992 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 312, 378, 976, 992 i.e 2.

3. How can I use the GCD of 312, 378, 976, 992Calculator?

Out the numbers 312, 378, 976, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.