GCD of 856, 254, 117, 501 Calculator

Given Input numbers are 856, 254, 117, 501

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 856, 254, 117, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 254, 117, 501 is 1.

Therefore, GCD of numbers 856, 254, 117, 501 is 1

Given Input Data is 856, 254, 117, 501

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 254 is 2 x 127

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 501 is 3 x 167

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(856, 254) = 108712

GCD(856, 254) = ( 856 x 254 ) / 108712

GCD(856, 254) = 217424 / 108712

GCD(856, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 856, 254, 117, 501 is 1

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• GCD of 787, 512, 634, 825
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1. What is the GCD of 856, 254, 117, 501?

GCD of 856, 254, 117, 501 is 1

2. Where do I get the detailed procedure to find GCD of 856, 254, 117, 501?

You can find a detailed procedure to find GCD of 856, 254, 117, 501 on our page.

3. How to find GCD of 856, 254, 117, 501 on a calculator?

You can find the GCD of 856, 254, 117, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.