GCD of 989, 516, 874, 357 Calculator

Given Input numbers are 989, 516, 874, 357

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 989, 516, 874, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 516, 874, 357 is 1.

Therefore, GCD of numbers 989, 516, 874, 357 is 1

Given Input Data is 989, 516, 874, 357

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 357 is 3 x 7 x 17

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(989, 516) = 11868

GCD(989, 516) = ( 989 x 516 ) / 11868

GCD(989, 516) = 510324 / 11868

GCD(989, 516) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 874

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

LCM(43, 874) = 37582

GCD(43, 874) = ( 43 x 874 ) / 37582

GCD(43, 874) = 37582 / 37582

GCD(43, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 989, 516, 874, 357 is 1

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1. What is the GCD of 989, 516, 874, 357?

GCD of 989, 516, 874, 357 is 1

2. Where do I get the detailed procedure to find GCD of 989, 516, 874, 357?

You can find a detailed procedure to find GCD of 989, 516, 874, 357 on our page.

3. How to find GCD of 989, 516, 874, 357 on a calculator?

You can find the GCD of 989, 516, 874, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.