GCD of 756, 161, 979, 290 Calculator

Given Input numbers are 756, 161, 979, 290

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 756, 161, 979, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 161, 979, 290 is 1.

Therefore, GCD of numbers 756, 161, 979, 290 is 1

Given Input Data is 756, 161, 979, 290

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 161 is 7 x 23

Prime Factorization of 979 is 11 x 89

Prime Factorization of 290 is 2 x 5 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(756, 161) = 17388

GCD(756, 161) = ( 756 x 161 ) / 17388

GCD(756, 161) = 121716 / 17388

GCD(756, 161) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 979

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

LCM(7, 979) = 6853

GCD(7, 979) = ( 7 x 979 ) / 6853

GCD(7, 979) = 6853 / 6853

GCD(7, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 756, 161, 979, 290 is 1

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• GCD of 347, 507, 263, 966
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• GCD of 732, 400, 239, 979

1. What is the GCD of 756, 161, 979, 290?

GCD of 756, 161, 979, 290 is 1

2. Where do I get the detailed procedure to find GCD of 756, 161, 979, 290?

You can find a detailed procedure to find GCD of 756, 161, 979, 290 on our page.

3. How to find GCD of 756, 161, 979, 290 on a calculator?

You can find the GCD of 756, 161, 979, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.