GCD of 372, 140, 870, 395 Calculator

Given Input numbers are 372, 140, 870, 395

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 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 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 372, 140, 870, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 140, 870, 395 is 1.

Therefore, GCD of numbers 372, 140, 870, 395 is 1

Given Input Data is 372, 140, 870, 395

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

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

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

Prime Factorization of 395 is 5 x 79

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(372, 140) = 13020

GCD(372, 140) = ( 372 x 140 ) / 13020

GCD(372, 140) = 52080 / 13020

GCD(372, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 870

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

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

GCD(4, 870) = 3480 / 1740

GCD(4, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 372, 140, 870, 395 is 1

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1. What is the GCD of 372, 140, 870, 395?

GCD of 372, 140, 870, 395 is 1

2. Where do I get the detailed procedure to find GCD of 372, 140, 870, 395?

You can find a detailed procedure to find GCD of 372, 140, 870, 395 on our page.

3. How to find GCD of 372, 140, 870, 395 on a calculator?

You can find the GCD of 372, 140, 870, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.