GCD of 276, 708, 746 Calculator

Given Input numbers are 276, 708, 746

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 276, 708, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 708, 746 is 2.

Therefore, GCD of numbers 276, 708, 746 is 2

Given Input Data is 276, 708, 746

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 746 is 2 x 373

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(276, 708) = 16284

GCD(276, 708) = ( 276 x 708 ) / 16284

GCD(276, 708) = 195408 / 16284

GCD(276, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 746

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

LCM(12, 746) = 4476

GCD(12, 746) = ( 12 x 746 ) / 4476

GCD(12, 746) = 8952 / 4476

GCD(12, 746) = 2

GCD of 276, 708, 746 is 2

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1. What is the GCD of 276, 708, 746?

GCD of 276, 708, 746 is 2

2. Where do I get the detailed procedure to find GCD of 276, 708, 746?

You can find a detailed procedure to find GCD of 276, 708, 746 on our page.

3. How to find GCD of 276, 708, 746 on a calculator?

You can find the GCD of 276, 708, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.