GCD of 942, 828, 757, 825 Calculator

Given Input numbers are 942, 828, 757, 825

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 942, 828, 757, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 828, 757, 825 is 1.

Therefore, GCD of numbers 942, 828, 757, 825 is 1

Given Input Data is 942, 828, 757, 825

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 757 is 757

Prime Factorization of 825 is 3 x 5 x 5 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(942, 828) = 129996

GCD(942, 828) = ( 942 x 828 ) / 129996

GCD(942, 828) = 779976 / 129996

GCD(942, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 757

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

LCM(6, 757) = 4542

GCD(6, 757) = ( 6 x 757 ) / 4542

GCD(6, 757) = 4542 / 4542

GCD(6, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 942, 828, 757, 825 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 942, 828, 757, 825?

GCD of 942, 828, 757, 825 is 1

2. Where do I get the detailed procedure to find GCD of 942, 828, 757, 825?

You can find a detailed procedure to find GCD of 942, 828, 757, 825 on our page.

3. How to find GCD of 942, 828, 757, 825 on a calculator?

You can find the GCD of 942, 828, 757, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.