GCD of 552, 725, 735, 142 Calculator

Given Input numbers are 552, 725, 735, 142

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 552, 725, 735, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 725, 735, 142 is 1.

Therefore, GCD of numbers 552, 725, 735, 142 is 1

Given Input Data is 552, 725, 735, 142

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(552, 725) = 400200

GCD(552, 725) = ( 552 x 725 ) / 400200

GCD(552, 725) = 400200 / 400200

GCD(552, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 552, 725, 735, 142 is 1

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1. What is the GCD of 552, 725, 735, 142?

GCD of 552, 725, 735, 142 is 1

2. Where do I get the detailed procedure to find GCD of 552, 725, 735, 142?

You can find a detailed procedure to find GCD of 552, 725, 735, 142 on our page.

3. How to find GCD of 552, 725, 735, 142 on a calculator?

You can find the GCD of 552, 725, 735, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.