GCD of 991, 714, 474, 974 Calculator

Given Input numbers are 991, 714, 474, 974

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 991, 714, 474, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 714, 474, 974 is 1.

Therefore, GCD of numbers 991, 714, 474, 974 is 1

Given Input Data is 991, 714, 474, 974

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

Prime Factorization of 991 is 991

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 974 is 2 x 487

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, 714) = 707574

GCD(991, 714) = ( 991 x 714 ) / 707574

GCD(991, 714) = 707574 / 707574

GCD(991, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 991, 714, 474, 974 is 1

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1. What is the GCD of 991, 714, 474, 974?

GCD of 991, 714, 474, 974 is 1

2. Where do I get the detailed procedure to find GCD of 991, 714, 474, 974?

You can find a detailed procedure to find GCD of 991, 714, 474, 974 on our page.

3. How to find GCD of 991, 714, 474, 974 on a calculator?

You can find the GCD of 991, 714, 474, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.