GCD of 391, 952, 992, 450 Calculator

Given Input numbers are 391, 952, 992, 450

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 391, 952, 992, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 952, 992, 450 is 1.

Therefore, GCD of numbers 391, 952, 992, 450 is 1

Given Input Data is 391, 952, 992, 450

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(391, 952) = 21896

GCD(391, 952) = ( 391 x 952 ) / 21896

GCD(391, 952) = 372232 / 21896

GCD(391, 952) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 992

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

LCM(17, 992) = 16864

GCD(17, 992) = ( 17 x 992 ) / 16864

GCD(17, 992) = 16864 / 16864

GCD(17, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 391, 952, 992, 450 is 1

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1. What is the GCD of 391, 952, 992, 450?

GCD of 391, 952, 992, 450 is 1

2. Where do I get the detailed procedure to find GCD of 391, 952, 992, 450?

You can find a detailed procedure to find GCD of 391, 952, 992, 450 on our page.

3. How to find GCD of 391, 952, 992, 450 on a calculator?

You can find the GCD of 391, 952, 992, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.