GCD of 274, 153, 724, 358 Calculator

Given Input numbers are 274, 153, 724, 358

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 274, 153, 724, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 153, 724, 358 is 1.

Therefore, GCD of numbers 274, 153, 724, 358 is 1

Given Input Data is 274, 153, 724, 358

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 358 is 2 x 179

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(274, 153) = 41922

GCD(274, 153) = ( 274 x 153 ) / 41922

GCD(274, 153) = 41922 / 41922

GCD(274, 153) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 274, 153, 724, 358 is 1

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1. What is the GCD of 274, 153, 724, 358?

GCD of 274, 153, 724, 358 is 1

2. Where do I get the detailed procedure to find GCD of 274, 153, 724, 358?

You can find a detailed procedure to find GCD of 274, 153, 724, 358 on our page.

3. How to find GCD of 274, 153, 724, 358 on a calculator?

You can find the GCD of 274, 153, 724, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.