GCD of 53, 684, 525, 428 Calculator

Given Input numbers are 53, 684, 525, 428

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 53, 684, 525, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 684, 525, 428 is 1.

Therefore, GCD of numbers 53, 684, 525, 428 is 1

Given Input Data is 53, 684, 525, 428

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

Prime Factorization of 53 is 53

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 428 is 2 x 2 x 107

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(53, 684) = 36252

GCD(53, 684) = ( 53 x 684 ) / 36252

GCD(53, 684) = 36252 / 36252

GCD(53, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 53, 684, 525, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 405, 127, 988
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• GCD of 65, 333, 194, 857
• GCD of 62, 233, 579, 481
• GCD of 42, 631, 349, 882

1. What is the GCD of 53, 684, 525, 428?

GCD of 53, 684, 525, 428 is 1

2. Where do I get the detailed procedure to find GCD of 53, 684, 525, 428?

You can find a detailed procedure to find GCD of 53, 684, 525, 428 on our page.

3. How to find GCD of 53, 684, 525, 428 on a calculator?

You can find the GCD of 53, 684, 525, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.