GCD of 927, 957, 70, 828 Calculator

Given Input numbers are 927, 957, 70, 828

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 957

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

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Greatest Common Divisior

We found the divisors of 927, 957, 70, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 957, 70, 828 is 1.

Therefore, GCD of numbers 927, 957, 70, 828 is 1

Given Input Data is 927, 957, 70, 828

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 70 is 2 x 5 x 7

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

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(927, 957) = 295713

GCD(927, 957) = ( 927 x 957 ) / 295713

GCD(927, 957) = 887139 / 295713

GCD(927, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 927, 957, 70, 828 is 1

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1. What is the GCD of 927, 957, 70, 828?

GCD of 927, 957, 70, 828 is 1

2. Where do I get the detailed procedure to find GCD of 927, 957, 70, 828?

You can find a detailed procedure to find GCD of 927, 957, 70, 828 on our page.

3. How to find GCD of 927, 957, 70, 828 on a calculator?

You can find the GCD of 927, 957, 70, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.