GCD of 975, 153, 142 Calculator

Given Input numbers are 975, 153, 142

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 975, 153, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 153, 142 is 1.

Therefore, GCD of numbers 975, 153, 142 is 1

Given Input Data is 975, 153, 142

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 142 is 2 x 71

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(975, 153) = 49725

GCD(975, 153) = ( 975 x 153 ) / 49725

GCD(975, 153) = 149175 / 49725

GCD(975, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 142

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

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

GCD(3, 142) = 426 / 426

GCD(3, 142) = 1

GCD of 975, 153, 142 is 1

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1. What is the GCD of 975, 153, 142?

GCD of 975, 153, 142 is 1

2. Where do I get the detailed procedure to find GCD of 975, 153, 142?

You can find a detailed procedure to find GCD of 975, 153, 142 on our page.

3. How to find GCD of 975, 153, 142 on a calculator?

You can find the GCD of 975, 153, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.