GCD of 792, 969, 615, 897 Calculator

Given Input numbers are 792, 969, 615, 897

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 792, 969, 615, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 969, 615, 897 is 3.

Therefore, GCD of numbers 792, 969, 615, 897 is 3

Given Input Data is 792, 969, 615, 897

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 897 is 3 x 13 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(792, 969) = 255816

GCD(792, 969) = ( 792 x 969 ) / 255816

GCD(792, 969) = 767448 / 255816

GCD(792, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 897

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

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

GCD(3, 897) = 2691 / 897

GCD(3, 897) = 3

GCD of 792, 969, 615, 897 is 3

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1. What is the GCD of 792, 969, 615, 897?

GCD of 792, 969, 615, 897 is 3

2. Where do I get the detailed procedure to find GCD of 792, 969, 615, 897?

You can find a detailed procedure to find GCD of 792, 969, 615, 897 on our page.

3. How to find GCD of 792, 969, 615, 897 on a calculator?

You can find the GCD of 792, 969, 615, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.