GCD of 969, 315, 879, 984 Calculator

Given Input numbers are 969, 315, 879, 984

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 969, 315, 879, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 315, 879, 984 is 3.

Therefore, GCD of numbers 969, 315, 879, 984 is 3

Given Input Data is 969, 315, 879, 984

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 879 is 3 x 293

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(969, 315) = 101745

GCD(969, 315) = ( 969 x 315 ) / 101745

GCD(969, 315) = 305235 / 101745

GCD(969, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 879

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

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

GCD(3, 879) = 2637 / 879

GCD(3, 879) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 984

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

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

GCD(3, 984) = 2952 / 984

GCD(3, 984) = 3

GCD of 969, 315, 879, 984 is 3

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1. What is the GCD of 969, 315, 879, 984?

GCD of 969, 315, 879, 984 is 3

2. Where do I get the detailed procedure to find GCD of 969, 315, 879, 984?

You can find a detailed procedure to find GCD of 969, 315, 879, 984 on our page.

3. How to find GCD of 969, 315, 879, 984 on a calculator?

You can find the GCD of 969, 315, 879, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.