GCD of 312, 735, 426, 108 Calculator

Given Input numbers are 312, 735, 426, 108

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (312, 735, 426, 108) = 3.

Given numbers are 312, 735, 426, 108

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 735 are 3 x 5 x 7 x 7

Prime factors of 426 are 2 x 3 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 312, 735, 426, 108 is 3.

Given numbers are 312, 735, 426, 108

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

Apply this formula for all numbers.

Step1:

LCM(312, 735) = 76440

GCD(312, 735) = ( 312 x 735 ) / 76440

= 312 / 735

= 312

Step2:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 312, 735, 426, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 767, 604, 878
• GCD of 349, 878, 877, 592
• GCD of 382, 513, 288, 213
• GCD of 503, 616, 588, 339
• GCD of 592, 873, 249, 644

Given numbers are 312, 735, 426, 108
The greatest common divisor of numbers 312, 735, 426, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 735, 426, 108 is 3.

1. What is the GCD of 312, 735, 426, 108?

GCD of given numbers 312, 735, 426, 108 is 3

2. How to calculate the greatest common divisor of 312, 735, 426, 108?

We can find the highest common divisor of 312, 735, 426, 108 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, 735, 426, 108 i.e 3.

3. How can I use the GCD of 312, 735, 426, 108Calculator?

Out the numbers 312, 735, 426, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.