GCD of 87, 291, 779, 557 Calculator

Given Input numbers are 87, 291, 779, 557

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 291

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

1, 3, 97, 291

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 87, 291, 779, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 291, 779, 557 is 1.

Therefore, GCD of numbers 87, 291, 779, 557 is 1

Given Input Data is 87, 291, 779, 557

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 291 is 3 x 97

Prime Factorization of 779 is 19 x 41

Prime Factorization of 557 is 557

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(87, 291) = 8439

GCD(87, 291) = ( 87 x 291 ) / 8439

GCD(87, 291) = 25317 / 8439

GCD(87, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 779

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

LCM(3, 779) = 2337

GCD(3, 779) = ( 3 x 779 ) / 2337

GCD(3, 779) = 2337 / 2337

GCD(3, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 87, 291, 779, 557 is 1

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• GCD of 44, 773, 753, 156
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• GCD of 85, 712, 741, 544

1. What is the GCD of 87, 291, 779, 557?

GCD of 87, 291, 779, 557 is 1

2. Where do I get the detailed procedure to find GCD of 87, 291, 779, 557?

You can find a detailed procedure to find GCD of 87, 291, 779, 557 on our page.

3. How to find GCD of 87, 291, 779, 557 on a calculator?

You can find the GCD of 87, 291, 779, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.