GCD of 991, 710, 624, 217 Calculator

Given Input numbers are 991, 710, 624, 217

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

Divisors of 991

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

1, 991

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 991, 710, 624, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 710, 624, 217 is 1.

Therefore, GCD of numbers 991, 710, 624, 217 is 1

Given Input Data is 991, 710, 624, 217

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

Prime Factorization of 991 is 991

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 217 is 7 x 31

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(991, 710) = 703610

GCD(991, 710) = ( 991 x 710 ) / 703610

GCD(991, 710) = 703610 / 703610

GCD(991, 710) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 991, 710, 624, 217 is 1

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1. What is the GCD of 991, 710, 624, 217?

GCD of 991, 710, 624, 217 is 1

2. Where do I get the detailed procedure to find GCD of 991, 710, 624, 217?

You can find a detailed procedure to find GCD of 991, 710, 624, 217 on our page.

3. How to find GCD of 991, 710, 624, 217 on a calculator?

You can find the GCD of 991, 710, 624, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.