GCD of 678, 138, 334, 936 Calculator

Given Input numbers are 678, 138, 334, 936

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (678, 138, 334, 936) = 2.

Given numbers are 678, 138, 334, 936

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 138 are 2 x 3 x 23

Prime factors of 334 are 2 x 167

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 678, 138, 334, 936 is 2.

Given numbers are 678, 138, 334, 936

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

Apply this formula for all numbers.

Step1:

LCM(678, 138) = 15594

GCD(678, 138) = ( 678 x 138 ) / 15594

= 678 / 138

= 678

Step2:

LCM(6, 334) = 1002

GCD(6, 334) = ( 6 x 334 ) / 1002

= 6 / 334

= 6

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 678, 138, 334, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 839, 670, 161
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Given numbers are 678, 138, 334, 936
The greatest common divisor of numbers 678, 138, 334, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 138, 334, 936 is 2.

1. What is the GCD of 678, 138, 334, 936?

GCD of given numbers 678, 138, 334, 936 is 2

2. How to calculate the greatest common divisor of 678, 138, 334, 936?

We can find the highest common divisor of 678, 138, 334, 936 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, 138, 334, 936 i.e 2.

3. How can I use the GCD of 678, 138, 334, 936Calculator?

Out the numbers 678, 138, 334, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.