GCD of 217, 137, 658, 354 Calculator

Given Input numbers are 217, 137, 658, 354

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 217, 137, 658, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 137, 658, 354 is 1.

Therefore, GCD of numbers 217, 137, 658, 354 is 1

Given Input Data is 217, 137, 658, 354

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 137 is 137

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 354 is 2 x 3 x 59

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(217, 137) = 29729

GCD(217, 137) = ( 217 x 137 ) / 29729

GCD(217, 137) = 29729 / 29729

GCD(217, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 217, 137, 658, 354 is 1

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1. What is the GCD of 217, 137, 658, 354?

GCD of 217, 137, 658, 354 is 1

2. Where do I get the detailed procedure to find GCD of 217, 137, 658, 354?

You can find a detailed procedure to find GCD of 217, 137, 658, 354 on our page.

3. How to find GCD of 217, 137, 658, 354 on a calculator?

You can find the GCD of 217, 137, 658, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.