GCD of 182, 100, 965, 131 Calculator

Given Input numbers are 182, 100, 965, 131

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 182, 100, 965, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 100, 965, 131 is 1.

Therefore, GCD of numbers 182, 100, 965, 131 is 1

Given Input Data is 182, 100, 965, 131

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 965 is 5 x 193

Prime Factorization of 131 is 131

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(182, 100) = 9100

GCD(182, 100) = ( 182 x 100 ) / 9100

GCD(182, 100) = 18200 / 9100

GCD(182, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 182, 100, 965, 131 is 1

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1. What is the GCD of 182, 100, 965, 131?

GCD of 182, 100, 965, 131 is 1

2. Where do I get the detailed procedure to find GCD of 182, 100, 965, 131?

You can find a detailed procedure to find GCD of 182, 100, 965, 131 on our page.

3. How to find GCD of 182, 100, 965, 131 on a calculator?

You can find the GCD of 182, 100, 965, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.