GCD of 126, 824, 75, 135 Calculator

Given Input numbers are 126, 824, 75, 135

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 126, 824, 75, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 824, 75, 135 is 1.

Therefore, GCD of numbers 126, 824, 75, 135 is 1

Given Input Data is 126, 824, 75, 135

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 824) = 51912

GCD(126, 824) = ( 126 x 824 ) / 51912

GCD(126, 824) = 103824 / 51912

GCD(126, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 126, 824, 75, 135 is 1

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• GCD of 843, 437, 70, 808
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• GCD of 759, 377, 70, 431

1. What is the GCD of 126, 824, 75, 135?

GCD of 126, 824, 75, 135 is 1

2. Where do I get the detailed procedure to find GCD of 126, 824, 75, 135?

You can find a detailed procedure to find GCD of 126, 824, 75, 135 on our page.

3. How to find GCD of 126, 824, 75, 135 on a calculator?

You can find the GCD of 126, 824, 75, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.