GCD of 969, 198, 108, 402 Calculator

Given Input numbers are 969, 198, 108, 402

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 969, 198, 108, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 198, 108, 402 is 3.

Therefore, GCD of numbers 969, 198, 108, 402 is 3

Given Input Data is 969, 198, 108, 402

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

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, 198) = 63954

GCD(969, 198) = ( 969 x 198 ) / 63954

GCD(969, 198) = 191862 / 63954

GCD(969, 198) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 108

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

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

GCD(3, 108) = 324 / 108

GCD(3, 108) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 402

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

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

GCD(3, 402) = 1206 / 402

GCD(3, 402) = 3

GCD of 969, 198, 108, 402 is 3

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1. What is the GCD of 969, 198, 108, 402?

GCD of 969, 198, 108, 402 is 3

2. Where do I get the detailed procedure to find GCD of 969, 198, 108, 402?

You can find a detailed procedure to find GCD of 969, 198, 108, 402 on our page.

3. How to find GCD of 969, 198, 108, 402 on a calculator?

You can find the GCD of 969, 198, 108, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.