GCD of 678, 756, 126, 939 Calculator

Given Input numbers are 678, 756, 126, 939

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

GCD of numbers is the greatest common divisor

So, the GCD (678, 756, 126, 939) = 3.

Given numbers are 678, 756, 126, 939

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 939 are 3 x 313

The highest common occurrence is 3¹

Therefore, GCD of 678, 756, 126, 939 is 3.

Given numbers are 678, 756, 126, 939

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

Apply this formula for all numbers.

Step1:

LCM(678, 756) = 85428

GCD(678, 756) = ( 678 x 756 ) / 85428

= 678 / 756

= 678

Step2:

LCM(6, 126) = 126

GCD(6, 126) = ( 6 x 126 ) / 126

= 6 / 126

= 6

Step3:

LCM(6, 939) = 1878

GCD(6, 939) = ( 6 x 939 ) / 1878

= 6 / 939

= 6

So, Greatest Common Divisor of 678, 756, 126, 939 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 136, 797, 785
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Given numbers are 678, 756, 126, 939
The greatest common divisor of numbers 678, 756, 126, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 756, 126, 939 is 3.

1. What is the GCD of 678, 756, 126, 939?

GCD of given numbers 678, 756, 126, 939 is 3

2. How to calculate the greatest common divisor of 678, 756, 126, 939?

We can find the highest common divisor of 678, 756, 126, 939 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 678, 756, 126, 939 i.e 3.

3. How can I use the GCD of 678, 756, 126, 939Calculator?

Out the numbers 678, 756, 126, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.