GCD of 969, 480, 90, 567 Calculator

Given Input numbers are 969, 480, 90, 567

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 969, 480, 90, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 480, 90, 567 is 3.

Therefore, GCD of numbers 969, 480, 90, 567 is 3

Given Input Data is 969, 480, 90, 567

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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, 480) = 155040

GCD(969, 480) = ( 969 x 480 ) / 155040

GCD(969, 480) = 465120 / 155040

GCD(969, 480) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

GCD of 969, 480, 90, 567 is 3

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1. What is the GCD of 969, 480, 90, 567?

GCD of 969, 480, 90, 567 is 3

2. Where do I get the detailed procedure to find GCD of 969, 480, 90, 567?

You can find a detailed procedure to find GCD of 969, 480, 90, 567 on our page.

3. How to find GCD of 969, 480, 90, 567 on a calculator?

You can find the GCD of 969, 480, 90, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.