GCD of 764, 354, 356 Calculator

Given Input numbers are 764, 354, 356

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 764, 354, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 354, 356 is 2.

Therefore, GCD of numbers 764, 354, 356 is 2

Given Input Data is 764, 354, 356

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 356 is 2 x 2 x 89

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(764, 354) = 135228

GCD(764, 354) = ( 764 x 354 ) / 135228

GCD(764, 354) = 270456 / 135228

GCD(764, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 764, 354, 356 is 2

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1. What is the GCD of 764, 354, 356?

GCD of 764, 354, 356 is 2

2. Where do I get the detailed procedure to find GCD of 764, 354, 356?

You can find a detailed procedure to find GCD of 764, 354, 356 on our page.

3. How to find GCD of 764, 354, 356 on a calculator?

You can find the GCD of 764, 354, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.