GCD of 650, 915, 586, 132 Calculator

Given Input numbers are 650, 915, 586, 132

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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

Greatest Common Divisior

We found the divisors of 650, 915, 586, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 915, 586, 132 is 1.

Therefore, GCD of numbers 650, 915, 586, 132 is 1

Given Input Data is 650, 915, 586, 132

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 586 is 2 x 293

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

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(650, 915) = 118950

GCD(650, 915) = ( 650 x 915 ) / 118950

GCD(650, 915) = 594750 / 118950

GCD(650, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 586

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

LCM(5, 586) = 2930

GCD(5, 586) = ( 5 x 586 ) / 2930

GCD(5, 586) = 2930 / 2930

GCD(5, 586) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 650, 915, 586, 132 is 1

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1. What is the GCD of 650, 915, 586, 132?

GCD of 650, 915, 586, 132 is 1

2. Where do I get the detailed procedure to find GCD of 650, 915, 586, 132?

You can find a detailed procedure to find GCD of 650, 915, 586, 132 on our page.

3. How to find GCD of 650, 915, 586, 132 on a calculator?

You can find the GCD of 650, 915, 586, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.