GCD of 111, 848, 722, 957 Calculator

Given Input numbers are 111, 848, 722, 957

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 111, 848, 722, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 848, 722, 957 is 1.

Therefore, GCD of numbers 111, 848, 722, 957 is 1

Given Input Data is 111, 848, 722, 957

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 957 is 3 x 11 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(111, 848) = 94128

GCD(111, 848) = ( 111 x 848 ) / 94128

GCD(111, 848) = 94128 / 94128

GCD(111, 848) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 111, 848, 722, 957 is 1

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1. What is the GCD of 111, 848, 722, 957?

GCD of 111, 848, 722, 957 is 1

2. Where do I get the detailed procedure to find GCD of 111, 848, 722, 957?

You can find a detailed procedure to find GCD of 111, 848, 722, 957 on our page.

3. How to find GCD of 111, 848, 722, 957 on a calculator?

You can find the GCD of 111, 848, 722, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.