GCD of 916, 870, 140, 363 Calculator

Given Input numbers are 916, 870, 140, 363

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 916, 870, 140, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 870, 140, 363 is 1.

Therefore, GCD of numbers 916, 870, 140, 363 is 1

Given Input Data is 916, 870, 140, 363

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 363 is 3 x 11 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(916, 870) = 398460

GCD(916, 870) = ( 916 x 870 ) / 398460

GCD(916, 870) = 796920 / 398460

GCD(916, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 916, 870, 140, 363 is 1

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1. What is the GCD of 916, 870, 140, 363?

GCD of 916, 870, 140, 363 is 1

2. Where do I get the detailed procedure to find GCD of 916, 870, 140, 363?

You can find a detailed procedure to find GCD of 916, 870, 140, 363 on our page.

3. How to find GCD of 916, 870, 140, 363 on a calculator?

You can find the GCD of 916, 870, 140, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.