GCD of 40, 378, 967, 131 Calculator

Given Input numbers are 40, 378, 967, 131

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 967

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

1, 967

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 40, 378, 967, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 378, 967, 131 is 1.

Therefore, GCD of numbers 40, 378, 967, 131 is 1

Given Input Data is 40, 378, 967, 131

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 967 is 967

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(40, 378) = 7560

GCD(40, 378) = ( 40 x 378 ) / 7560

GCD(40, 378) = 15120 / 7560

GCD(40, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 967

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

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

GCD(2, 967) = 1934 / 1934

GCD(2, 967) = 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 40, 378, 967, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 142, 243, 266
• GCD of 19, 805, 910, 684
• GCD of 55, 179, 437, 672
• GCD of 11, 657, 259, 668
• GCD of 69, 982, 122, 567

1. What is the GCD of 40, 378, 967, 131?

GCD of 40, 378, 967, 131 is 1

2. Where do I get the detailed procedure to find GCD of 40, 378, 967, 131?

You can find a detailed procedure to find GCD of 40, 378, 967, 131 on our page.

3. How to find GCD of 40, 378, 967, 131 on a calculator?

You can find the GCD of 40, 378, 967, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.