GCD of 675, 588, 940, 969 Calculator

Given Input numbers are 675, 588, 940, 969

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 969

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

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

Greatest Common Divisior

We found the divisors of 675, 588, 940, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 588, 940, 969 is 1.

Therefore, GCD of numbers 675, 588, 940, 969 is 1

Given Input Data is 675, 588, 940, 969

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 969 is 3 x 17 x 19

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(675, 588) = 132300

GCD(675, 588) = ( 675 x 588 ) / 132300

GCD(675, 588) = 396900 / 132300

GCD(675, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 940

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

LCM(3, 940) = 2820

GCD(3, 940) = ( 3 x 940 ) / 2820

GCD(3, 940) = 2820 / 2820

GCD(3, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 675, 588, 940, 969 is 1

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1. What is the GCD of 675, 588, 940, 969?

GCD of 675, 588, 940, 969 is 1

2. Where do I get the detailed procedure to find GCD of 675, 588, 940, 969?

You can find a detailed procedure to find GCD of 675, 588, 940, 969 on our page.

3. How to find GCD of 675, 588, 940, 969 on a calculator?

You can find the GCD of 675, 588, 940, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.