GCD of 74, 351, 264, 676 Calculator

Given Input numbers are 74, 351, 264, 676

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

Greatest Common Divisior

We found the divisors of 74, 351, 264, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 351, 264, 676 is 1.

Therefore, GCD of numbers 74, 351, 264, 676 is 1

Given Input Data is 74, 351, 264, 676

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

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(74, 351) = 25974

GCD(74, 351) = ( 74 x 351 ) / 25974

GCD(74, 351) = 25974 / 25974

GCD(74, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 74, 351, 264, 676 is 1

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• GCD of 59, 241, 789, 699
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• GCD of 71, 667, 206, 886

1. What is the GCD of 74, 351, 264, 676?

GCD of 74, 351, 264, 676 is 1

2. Where do I get the detailed procedure to find GCD of 74, 351, 264, 676?

You can find a detailed procedure to find GCD of 74, 351, 264, 676 on our page.

3. How to find GCD of 74, 351, 264, 676 on a calculator?

You can find the GCD of 74, 351, 264, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.