GCD of 312, 456, 976, 496 Calculator

Given Input numbers are 312, 456, 976, 496

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (312, 456, 976, 496) = 8.

Given numbers are 312, 456, 976, 496

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 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2³

Therefore, GCD of 312, 456, 976, 496 is 8.

Given numbers are 312, 456, 976, 496

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

Apply this formula for all numbers.

Step1:

LCM(312, 456) = 5928

GCD(312, 456) = ( 312 x 456 ) / 5928

= 312 / 456

= 312

Step2:

LCM(24, 976) = 2928

GCD(24, 976) = ( 24 x 976 ) / 2928

= 24 / 976

= 24

Step3:

LCM(8, 496) = 496

GCD(8, 496) = ( 8 x 496 ) / 496

= 8 / 496

= 8

So, Greatest Common Divisor of 312, 456, 976, 496 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 152, 468, 402
• GCD of 115, 810, 985, 835
• GCD of 854, 801, 430, 718
• GCD of 842, 528, 845, 531
• GCD of 658, 667, 579, 996

Given numbers are 312, 456, 976, 496
The greatest common divisor of numbers 312, 456, 976, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 456, 976, 496 is 8.

1. What is the GCD of 312, 456, 976, 496?

GCD of given numbers 312, 456, 976, 496 is 8

2. How to calculate the greatest common divisor of 312, 456, 976, 496?

We can find the highest common divisor of 312, 456, 976, 496 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, 456, 976, 496 i.e 8.

3. How can I use the GCD of 312, 456, 976, 496Calculator?

Out the numbers 312, 456, 976, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.