GCD of 102, 178, 624, 136 Calculator

Given Input numbers are 102, 178, 624, 136

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 102, 178, 624, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 178, 624, 136 is 2.

Therefore, GCD of numbers 102, 178, 624, 136 is 2

Given Input Data is 102, 178, 624, 136

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 178 is 2 x 89

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 136 is 2 x 2 x 2 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(102, 178) = 9078

GCD(102, 178) = ( 102 x 178 ) / 9078

GCD(102, 178) = 18156 / 9078

GCD(102, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

GCD of 102, 178, 624, 136 is 2

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• GCD of 212, 928, 848, 906
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1. What is the GCD of 102, 178, 624, 136?

GCD of 102, 178, 624, 136 is 2

2. Where do I get the detailed procedure to find GCD of 102, 178, 624, 136?

You can find a detailed procedure to find GCD of 102, 178, 624, 136 on our page.

3. How to find GCD of 102, 178, 624, 136 on a calculator?

You can find the GCD of 102, 178, 624, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.