GCD of 136, 948, 642, 272 Calculator

Given Input numbers are 136, 948, 642, 272

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

Divisors of 136

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

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 136, 948, 642, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 948, 642, 272 is 2.

Therefore, GCD of numbers 136, 948, 642, 272 is 2

Given Input Data is 136, 948, 642, 272

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

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 272 is 2 x 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(136, 948) = 32232

GCD(136, 948) = ( 136 x 948 ) / 32232

GCD(136, 948) = 128928 / 32232

GCD(136, 948) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 642

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

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

GCD(4, 642) = 2568 / 1284

GCD(4, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

GCD of 136, 948, 642, 272 is 2

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1. What is the GCD of 136, 948, 642, 272?

GCD of 136, 948, 642, 272 is 2

2. Where do I get the detailed procedure to find GCD of 136, 948, 642, 272?

You can find a detailed procedure to find GCD of 136, 948, 642, 272 on our page.

3. How to find GCD of 136, 948, 642, 272 on a calculator?

You can find the GCD of 136, 948, 642, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.