GCD of 969, 626, 117, 272 Calculator

Given Input numbers are 969, 626, 117, 272

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 969, 626, 117, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 626, 117, 272 is 1.

Therefore, GCD of numbers 969, 626, 117, 272 is 1

Given Input Data is 969, 626, 117, 272

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 626 is 2 x 313

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(969, 626) = 606594

GCD(969, 626) = ( 969 x 626 ) / 606594

GCD(969, 626) = 606594 / 606594

GCD(969, 626) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 969, 626, 117, 272 is 1

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1. What is the GCD of 969, 626, 117, 272?

GCD of 969, 626, 117, 272 is 1

2. Where do I get the detailed procedure to find GCD of 969, 626, 117, 272?

You can find a detailed procedure to find GCD of 969, 626, 117, 272 on our page.

3. How to find GCD of 969, 626, 117, 272 on a calculator?

You can find the GCD of 969, 626, 117, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.