GCD of 935, 969, 135, 560 Calculator

Given Input numbers are 935, 969, 135, 560

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 935, 969, 135, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 969, 135, 560 is 1.

Therefore, GCD of numbers 935, 969, 135, 560 is 1

Given Input Data is 935, 969, 135, 560

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(935, 969) = 53295

GCD(935, 969) = ( 935 x 969 ) / 53295

GCD(935, 969) = 906015 / 53295

GCD(935, 969) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 135

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

LCM(17, 135) = 2295

GCD(17, 135) = ( 17 x 135 ) / 2295

GCD(17, 135) = 2295 / 2295

GCD(17, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 935, 969, 135, 560 is 1

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1. What is the GCD of 935, 969, 135, 560?

GCD of 935, 969, 135, 560 is 1

2. Where do I get the detailed procedure to find GCD of 935, 969, 135, 560?

You can find a detailed procedure to find GCD of 935, 969, 135, 560 on our page.

3. How to find GCD of 935, 969, 135, 560 on a calculator?

You can find the GCD of 935, 969, 135, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.