GCD of 946, 132, 667, 500 Calculator

Given Input numbers are 946, 132, 667, 500

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 946, 132, 667, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 132, 667, 500 is 1.

Therefore, GCD of numbers 946, 132, 667, 500 is 1

Given Input Data is 946, 132, 667, 500

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 667 is 23 x 29

Prime Factorization of 500 is 2 x 2 x 5 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(946, 132) = 5676

GCD(946, 132) = ( 946 x 132 ) / 5676

GCD(946, 132) = 124872 / 5676

GCD(946, 132) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 667

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

LCM(22, 667) = 14674

GCD(22, 667) = ( 22 x 667 ) / 14674

GCD(22, 667) = 14674 / 14674

GCD(22, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 946, 132, 667, 500 is 1

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• GCD of 130, 641, 698, 113
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1. What is the GCD of 946, 132, 667, 500?

GCD of 946, 132, 667, 500 is 1

2. Where do I get the detailed procedure to find GCD of 946, 132, 667, 500?

You can find a detailed procedure to find GCD of 946, 132, 667, 500 on our page.

3. How to find GCD of 946, 132, 667, 500 on a calculator?

You can find the GCD of 946, 132, 667, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.