GCD of 996, 542, 653, 147 Calculator

Given Input numbers are 996, 542, 653, 147

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 542

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

1, 2, 271, 542

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 996, 542, 653, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 542, 653, 147 is 1.

Therefore, GCD of numbers 996, 542, 653, 147 is 1

Given Input Data is 996, 542, 653, 147

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 542 is 2 x 271

Prime Factorization of 653 is 653

Prime Factorization of 147 is 3 x 7 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(996, 542) = 269916

GCD(996, 542) = ( 996 x 542 ) / 269916

GCD(996, 542) = 539832 / 269916

GCD(996, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 996, 542, 653, 147 is 1

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• GCD of 242, 169, 395, 663
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1. What is the GCD of 996, 542, 653, 147?

GCD of 996, 542, 653, 147 is 1

2. Where do I get the detailed procedure to find GCD of 996, 542, 653, 147?

You can find a detailed procedure to find GCD of 996, 542, 653, 147 on our page.

3. How to find GCD of 996, 542, 653, 147 on a calculator?

You can find the GCD of 996, 542, 653, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.