GCD of 676, 987, 718, 421 Calculator

Given Input numbers are 676, 987, 718, 421

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 676, 987, 718, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 987, 718, 421 is 1.

Therefore, GCD of numbers 676, 987, 718, 421 is 1

Given Input Data is 676, 987, 718, 421

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 718 is 2 x 359

Prime Factorization of 421 is 421

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(676, 987) = 667212

GCD(676, 987) = ( 676 x 987 ) / 667212

GCD(676, 987) = 667212 / 667212

GCD(676, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 676, 987, 718, 421 is 1

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• GCD of 706, 285, 211, 382
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1. What is the GCD of 676, 987, 718, 421?

GCD of 676, 987, 718, 421 is 1

2. Where do I get the detailed procedure to find GCD of 676, 987, 718, 421?

You can find a detailed procedure to find GCD of 676, 987, 718, 421 on our page.

3. How to find GCD of 676, 987, 718, 421 on a calculator?

You can find the GCD of 676, 987, 718, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.