GCD of 126, 136, 71, 964 Calculator

Given Input numbers are 126, 136, 71, 964

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

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

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 126, 136, 71, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 136, 71, 964 is 1.

Therefore, GCD of numbers 126, 136, 71, 964 is 1

Given Input Data is 126, 136, 71, 964

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

Prime Factorization of 71 is 71

Prime Factorization of 964 is 2 x 2 x 241

The above numbers do not have any common prime factor. So GCD is 1

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(126, 136) = 8568

GCD(126, 136) = ( 126 x 136 ) / 8568

GCD(126, 136) = 17136 / 8568

GCD(126, 136) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 126, 136, 71, 964 is 1

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• GCD of 657, 410, 10, 274
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1. What is the GCD of 126, 136, 71, 964?

GCD of 126, 136, 71, 964 is 1

2. Where do I get the detailed procedure to find GCD of 126, 136, 71, 964?

You can find a detailed procedure to find GCD of 126, 136, 71, 964 on our page.

3. How to find GCD of 126, 136, 71, 964 on a calculator?

You can find the GCD of 126, 136, 71, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.