GCD of 675, 231, 542, 920 Calculator

Given Input numbers are 675, 231, 542, 920

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 675, 231, 542, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 231, 542, 920 is 1.

Therefore, GCD of numbers 675, 231, 542, 920 is 1

Given Input Data is 675, 231, 542, 920

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 542 is 2 x 271

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(675, 231) = 51975

GCD(675, 231) = ( 675 x 231 ) / 51975

GCD(675, 231) = 155925 / 51975

GCD(675, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 542

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

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

GCD(3, 542) = 1626 / 1626

GCD(3, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 675, 231, 542, 920 is 1

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• GCD of 849, 115, 752, 478
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• GCD of 976, 597, 443, 921

1. What is the GCD of 675, 231, 542, 920?

GCD of 675, 231, 542, 920 is 1

2. Where do I get the detailed procedure to find GCD of 675, 231, 542, 920?

You can find a detailed procedure to find GCD of 675, 231, 542, 920 on our page.

3. How to find GCD of 675, 231, 542, 920 on a calculator?

You can find the GCD of 675, 231, 542, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.