GCD of 988, 492, 651, 730 Calculator

Given Input numbers are 988, 492, 651, 730

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 988, 492, 651, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 492, 651, 730 is 1.

Therefore, GCD of numbers 988, 492, 651, 730 is 1

Given Input Data is 988, 492, 651, 730

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 730 is 2 x 5 x 73

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, 492) = 121524

GCD(988, 492) = ( 988 x 492 ) / 121524

GCD(988, 492) = 486096 / 121524

GCD(988, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 651

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

LCM(4, 651) = 2604

GCD(4, 651) = ( 4 x 651 ) / 2604

GCD(4, 651) = 2604 / 2604

GCD(4, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 988, 492, 651, 730 is 1

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1. What is the GCD of 988, 492, 651, 730?

GCD of 988, 492, 651, 730 is 1

2. Where do I get the detailed procedure to find GCD of 988, 492, 651, 730?

You can find a detailed procedure to find GCD of 988, 492, 651, 730 on our page.

3. How to find GCD of 988, 492, 651, 730 on a calculator?

You can find the GCD of 988, 492, 651, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.