GCD of 524, 676, 883, 542 Calculator

Given Input numbers are 524, 676, 883, 542

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 524, 676, 883, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 676, 883, 542 is 1.

Therefore, GCD of numbers 524, 676, 883, 542 is 1

Given Input Data is 524, 676, 883, 542

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 883 is 883

Prime Factorization of 542 is 2 x 271

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(524, 676) = 88556

GCD(524, 676) = ( 524 x 676 ) / 88556

GCD(524, 676) = 354224 / 88556

GCD(524, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 883

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

LCM(4, 883) = 3532

GCD(4, 883) = ( 4 x 883 ) / 3532

GCD(4, 883) = 3532 / 3532

GCD(4, 883) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 524, 676, 883, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 532, 350, 430
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• GCD of 658, 145, 844, 140
• GCD of 452, 530, 344, 161
• GCD of 832, 667, 127, 369

1. What is the GCD of 524, 676, 883, 542?

GCD of 524, 676, 883, 542 is 1

2. Where do I get the detailed procedure to find GCD of 524, 676, 883, 542?

You can find a detailed procedure to find GCD of 524, 676, 883, 542 on our page.

3. How to find GCD of 524, 676, 883, 542 on a calculator?

You can find the GCD of 524, 676, 883, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.