GCD of 356, 667, 49, 724 Calculator

Given Input numbers are 356, 667, 49, 724

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 356, 667, 49, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 667, 49, 724 is 1.

Therefore, GCD of numbers 356, 667, 49, 724 is 1

Given Input Data is 356, 667, 49, 724

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 667 is 23 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 724 is 2 x 2 x 181

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(356, 667) = 237452

GCD(356, 667) = ( 356 x 667 ) / 237452

GCD(356, 667) = 237452 / 237452

GCD(356, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 356, 667, 49, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 740, 33, 954
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• GCD of 635, 691, 38, 303

1. What is the GCD of 356, 667, 49, 724?

GCD of 356, 667, 49, 724 is 1

2. Where do I get the detailed procedure to find GCD of 356, 667, 49, 724?

You can find a detailed procedure to find GCD of 356, 667, 49, 724 on our page.

3. How to find GCD of 356, 667, 49, 724 on a calculator?

You can find the GCD of 356, 667, 49, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.