GCD of 411, 456, 791, 967 Calculator

Given Input numbers are 411, 456, 791, 967

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

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 411, 456, 791, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 411, 456, 791, 967 is 1.

Therefore, GCD of numbers 411, 456, 791, 967 is 1

Given Input Data is 411, 456, 791, 967

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

Prime Factorization of 411 is 3 x 137

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 791 is 7 x 113

Prime Factorization of 967 is 967

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(411, 456) = 62472

GCD(411, 456) = ( 411 x 456 ) / 62472

GCD(411, 456) = 187416 / 62472

GCD(411, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 791

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

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

GCD(3, 791) = 2373 / 2373

GCD(3, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 411, 456, 791, 967 is 1

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1. What is the GCD of 411, 456, 791, 967?

GCD of 411, 456, 791, 967 is 1

2. Where do I get the detailed procedure to find GCD of 411, 456, 791, 967?

You can find a detailed procedure to find GCD of 411, 456, 791, 967 on our page.

3. How to find GCD of 411, 456, 791, 967 on a calculator?

You can find the GCD of 411, 456, 791, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.