GCD of 178, 310, 684, 138 Calculator

Given Input numbers are 178, 310, 684, 138

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (178, 310, 684, 138) = 2.

Given numbers are 178, 310, 684, 138

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 310 are 2 x 5 x 31

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 178, 310, 684, 138 is 2.

Given numbers are 178, 310, 684, 138

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

Apply this formula for all numbers.

Step1:

LCM(178, 310) = 27590

GCD(178, 310) = ( 178 x 310 ) / 27590

= 178 / 310

= 178

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 178, 310, 684, 138 is 2

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• GCD of 793, 703, 212, 956
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Given numbers are 178, 310, 684, 138
The greatest common divisor of numbers 178, 310, 684, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 310, 684, 138 is 2.

1. What is the GCD of 178, 310, 684, 138?

GCD of given numbers 178, 310, 684, 138 is 2

2. How to calculate the greatest common divisor of 178, 310, 684, 138?

We can find the highest common divisor of 178, 310, 684, 138 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 178, 310, 684, 138 i.e 2.

3. How can I use the GCD of 178, 310, 684, 138Calculator?

Out the numbers 178, 310, 684, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.