GCD of 820, 160, 39, 957 Calculator

Given Input numbers are 820, 160, 39, 957

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 820, 160, 39, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 160, 39, 957 is 1.

Therefore, GCD of numbers 820, 160, 39, 957 is 1

Given Input Data is 820, 160, 39, 957

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 39 is 3 x 13

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(820, 160) = 6560

GCD(820, 160) = ( 820 x 160 ) / 6560

GCD(820, 160) = 131200 / 6560

GCD(820, 160) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 39

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

LCM(20, 39) = 780

GCD(20, 39) = ( 20 x 39 ) / 780

GCD(20, 39) = 780 / 780

GCD(20, 39) = 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 820, 160, 39, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 725, 20, 239
• GCD of 103, 876, 83, 521
• GCD of 367, 585, 35, 782
• GCD of 538, 653, 76, 964
• GCD of 780, 100, 22, 318

1. What is the GCD of 820, 160, 39, 957?

GCD of 820, 160, 39, 957 is 1

2. Where do I get the detailed procedure to find GCD of 820, 160, 39, 957?

You can find a detailed procedure to find GCD of 820, 160, 39, 957 on our page.

3. How to find GCD of 820, 160, 39, 957 on a calculator?

You can find the GCD of 820, 160, 39, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.