GCD of 932, 684, 268, 358 Calculator

Given Input numbers are 932, 684, 268, 358

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 932, 684, 268, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 684, 268, 358 is 2.

Therefore, GCD of numbers 932, 684, 268, 358 is 2

Given Input Data is 932, 684, 268, 358

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 358 is 2 x 179

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(932, 684) = 159372

GCD(932, 684) = ( 932 x 684 ) / 159372

GCD(932, 684) = 637488 / 159372

GCD(932, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 268

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

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

GCD(4, 268) = 1072 / 268

GCD(4, 268) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 358

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

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

GCD(4, 358) = 1432 / 716

GCD(4, 358) = 2

GCD of 932, 684, 268, 358 is 2

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1. What is the GCD of 932, 684, 268, 358?

GCD of 932, 684, 268, 358 is 2

2. Where do I get the detailed procedure to find GCD of 932, 684, 268, 358?

You can find a detailed procedure to find GCD of 932, 684, 268, 358 on our page.

3. How to find GCD of 932, 684, 268, 358 on a calculator?

You can find the GCD of 932, 684, 268, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.