GCD of 358, 992, 84, 451 Calculator

Given Input numbers are 358, 992, 84, 451

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 358, 992, 84, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 992, 84, 451 is 1.

Therefore, GCD of numbers 358, 992, 84, 451 is 1

Given Input Data is 358, 992, 84, 451

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 451 is 11 x 41

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(358, 992) = 177568

GCD(358, 992) = ( 358 x 992 ) / 177568

GCD(358, 992) = 355136 / 177568

GCD(358, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 451

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

LCM(2, 451) = 902

GCD(2, 451) = ( 2 x 451 ) / 902

GCD(2, 451) = 902 / 902

GCD(2, 451) = 1

GCD of 358, 992, 84, 451 is 1

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1. What is the GCD of 358, 992, 84, 451?

GCD of 358, 992, 84, 451 is 1

2. Where do I get the detailed procedure to find GCD of 358, 992, 84, 451?

You can find a detailed procedure to find GCD of 358, 992, 84, 451 on our page.

3. How to find GCD of 358, 992, 84, 451 on a calculator?

You can find the GCD of 358, 992, 84, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.