GCD of 842, 782, 175, 131 Calculator

Given Input numbers are 842, 782, 175, 131

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 842, 782, 175, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 782, 175, 131 is 1.

Therefore, GCD of numbers 842, 782, 175, 131 is 1

Given Input Data is 842, 782, 175, 131

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 175 is 5 x 5 x 7

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(842, 782) = 329222

GCD(842, 782) = ( 842 x 782 ) / 329222

GCD(842, 782) = 658444 / 329222

GCD(842, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 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 842, 782, 175, 131 is 1

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1. What is the GCD of 842, 782, 175, 131?

GCD of 842, 782, 175, 131 is 1

2. Where do I get the detailed procedure to find GCD of 842, 782, 175, 131?

You can find a detailed procedure to find GCD of 842, 782, 175, 131 on our page.

3. How to find GCD of 842, 782, 175, 131 on a calculator?

You can find the GCD of 842, 782, 175, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.