GCD of 988, 722, 72, 553 Calculator

Given Input numbers are 988, 722, 72, 553

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 988, 722, 72, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 722, 72, 553 is 1.

Therefore, GCD of numbers 988, 722, 72, 553 is 1

Given Input Data is 988, 722, 72, 553

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 553 is 7 x 79

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(988, 722) = 18772

GCD(988, 722) = ( 988 x 722 ) / 18772

GCD(988, 722) = 713336 / 18772

GCD(988, 722) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 72

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

LCM(38, 72) = 1368

GCD(38, 72) = ( 38 x 72 ) / 1368

GCD(38, 72) = 2736 / 1368

GCD(38, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 988, 722, 72, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 156, 85, 152
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• GCD of 731, 525, 40, 475
• GCD of 894, 883, 35, 749
• GCD of 120, 249, 44, 825

1. What is the GCD of 988, 722, 72, 553?

GCD of 988, 722, 72, 553 is 1

2. Where do I get the detailed procedure to find GCD of 988, 722, 72, 553?

You can find a detailed procedure to find GCD of 988, 722, 72, 553 on our page.

3. How to find GCD of 988, 722, 72, 553 on a calculator?

You can find the GCD of 988, 722, 72, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.