GCD of 431, 156, 117, 870 Calculator

Given Input numbers are 431, 156, 117, 870

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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

Greatest Common Divisior

We found the divisors of 431, 156, 117, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 156, 117, 870 is 1.

Therefore, GCD of numbers 431, 156, 117, 870 is 1

Given Input Data is 431, 156, 117, 870

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

Prime Factorization of 431 is 431

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 117 is 3 x 3 x 13

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

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(431, 156) = 67236

GCD(431, 156) = ( 431 x 156 ) / 67236

GCD(431, 156) = 67236 / 67236

GCD(431, 156) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 431, 156, 117, 870 is 1

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1. What is the GCD of 431, 156, 117, 870?

GCD of 431, 156, 117, 870 is 1

2. Where do I get the detailed procedure to find GCD of 431, 156, 117, 870?

You can find a detailed procedure to find GCD of 431, 156, 117, 870 on our page.

3. How to find GCD of 431, 156, 117, 870 on a calculator?

You can find the GCD of 431, 156, 117, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.