GCD of 297, 942, 702 Calculator

Given Input numbers are 297, 942, 702

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 297, 942, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 942, 702 is 3.

Therefore, GCD of numbers 297, 942, 702 is 3

Given Input Data is 297, 942, 702

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(297, 942) = 93258

GCD(297, 942) = ( 297 x 942 ) / 93258

GCD(297, 942) = 279774 / 93258

GCD(297, 942) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 702

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

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

GCD(3, 702) = 2106 / 702

GCD(3, 702) = 3

GCD of 297, 942, 702 is 3

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1. What is the GCD of 297, 942, 702?

GCD of 297, 942, 702 is 3

2. Where do I get the detailed procedure to find GCD of 297, 942, 702?

You can find a detailed procedure to find GCD of 297, 942, 702 on our page.

3. How to find GCD of 297, 942, 702 on a calculator?

You can find the GCD of 297, 942, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.