GCD of 826, 957, 65, 827 Calculator

Given Input numbers are 826, 957, 65, 827

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 826, 957, 65, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 957, 65, 827 is 1.

Therefore, GCD of numbers 826, 957, 65, 827 is 1

Given Input Data is 826, 957, 65, 827

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 827 is 827

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(826, 957) = 790482

GCD(826, 957) = ( 826 x 957 ) / 790482

GCD(826, 957) = 790482 / 790482

GCD(826, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 826, 957, 65, 827 is 1

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1. What is the GCD of 826, 957, 65, 827?

GCD of 826, 957, 65, 827 is 1

2. Where do I get the detailed procedure to find GCD of 826, 957, 65, 827?

You can find a detailed procedure to find GCD of 826, 957, 65, 827 on our page.

3. How to find GCD of 826, 957, 65, 827 on a calculator?

You can find the GCD of 826, 957, 65, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.