GCD of 458, 968, 856, 987 Calculator

Given Input numbers are 458, 968, 856, 987

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 458, 968, 856, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 968, 856, 987 is 1.

Therefore, GCD of numbers 458, 968, 856, 987 is 1

Given Input Data is 458, 968, 856, 987

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Prime Factorization of 987 is 3 x 7 x 47

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(458, 968) = 221672

GCD(458, 968) = ( 458 x 968 ) / 221672

GCD(458, 968) = 443344 / 221672

GCD(458, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 458, 968, 856, 987 is 1

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1. What is the GCD of 458, 968, 856, 987?

GCD of 458, 968, 856, 987 is 1

2. Where do I get the detailed procedure to find GCD of 458, 968, 856, 987?

You can find a detailed procedure to find GCD of 458, 968, 856, 987 on our page.

3. How to find GCD of 458, 968, 856, 987 on a calculator?

You can find the GCD of 458, 968, 856, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.