GCD of 291, 497, 659, 119 Calculator

Given Input numbers are 291, 497, 659, 119

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 291, 497, 659, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 497, 659, 119 is 1.

Therefore, GCD of numbers 291, 497, 659, 119 is 1

Given Input Data is 291, 497, 659, 119

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 497 is 7 x 71

Prime Factorization of 659 is 659

Prime Factorization of 119 is 7 x 17

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(291, 497) = 144627

GCD(291, 497) = ( 291 x 497 ) / 144627

GCD(291, 497) = 144627 / 144627

GCD(291, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 291, 497, 659, 119 is 1

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1. What is the GCD of 291, 497, 659, 119?

GCD of 291, 497, 659, 119 is 1

2. Where do I get the detailed procedure to find GCD of 291, 497, 659, 119?

You can find a detailed procedure to find GCD of 291, 497, 659, 119 on our page.

3. How to find GCD of 291, 497, 659, 119 on a calculator?

You can find the GCD of 291, 497, 659, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.