GCD of 114, 725, 572, 140 Calculator

Given Input numbers are 114, 725, 572, 140

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 114, 725, 572, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 725, 572, 140 is 1.

Therefore, GCD of numbers 114, 725, 572, 140 is 1

Given Input Data is 114, 725, 572, 140

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(114, 725) = 82650

GCD(114, 725) = ( 114 x 725 ) / 82650

GCD(114, 725) = 82650 / 82650

GCD(114, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 114, 725, 572, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 267, 587, 457
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• GCD of 927, 520, 171, 982

1. What is the GCD of 114, 725, 572, 140?

GCD of 114, 725, 572, 140 is 1

2. Where do I get the detailed procedure to find GCD of 114, 725, 572, 140?

You can find a detailed procedure to find GCD of 114, 725, 572, 140 on our page.

3. How to find GCD of 114, 725, 572, 140 on a calculator?

You can find the GCD of 114, 725, 572, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.