GCD of 710, 554, 272, 991 Calculator

Given Input numbers are 710, 554, 272, 991

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 710, 554, 272, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 554, 272, 991 is 1.

Therefore, GCD of numbers 710, 554, 272, 991 is 1

Given Input Data is 710, 554, 272, 991

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 554 is 2 x 277

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 991 is 991

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(710, 554) = 196670

GCD(710, 554) = ( 710 x 554 ) / 196670

GCD(710, 554) = 393340 / 196670

GCD(710, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 710, 554, 272, 991 is 1

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1. What is the GCD of 710, 554, 272, 991?

GCD of 710, 554, 272, 991 is 1

2. Where do I get the detailed procedure to find GCD of 710, 554, 272, 991?

You can find a detailed procedure to find GCD of 710, 554, 272, 991 on our page.

3. How to find GCD of 710, 554, 272, 991 on a calculator?

You can find the GCD of 710, 554, 272, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.