GCD of 53, 706, 924, 642 Calculator

Given Input numbers are 53, 706, 924, 642

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 53, 706, 924, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 706, 924, 642 is 1.

Therefore, GCD of numbers 53, 706, 924, 642 is 1

Given Input Data is 53, 706, 924, 642

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

Prime Factorization of 53 is 53

Prime Factorization of 706 is 2 x 353

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 642 is 2 x 3 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, 706) = 37418

GCD(53, 706) = ( 53 x 706 ) / 37418

GCD(53, 706) = 37418 / 37418

GCD(53, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 53, 706, 924, 642 is 1

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1. What is the GCD of 53, 706, 924, 642?

GCD of 53, 706, 924, 642 is 1

2. Where do I get the detailed procedure to find GCD of 53, 706, 924, 642?

You can find a detailed procedure to find GCD of 53, 706, 924, 642 on our page.

3. How to find GCD of 53, 706, 924, 642 on a calculator?

You can find the GCD of 53, 706, 924, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.