GCD of 296, 762, 56 Calculator

Given Input numbers are 296, 762, 56

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 296, 762, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 762, 56 is 2.

Therefore, GCD of numbers 296, 762, 56 is 2

Given Input Data is 296, 762, 56

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(296, 762) = 112776

GCD(296, 762) = ( 296 x 762 ) / 112776

GCD(296, 762) = 225552 / 112776

GCD(296, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

GCD of 296, 762, 56 is 2

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1. What is the GCD of 296, 762, 56?

GCD of 296, 762, 56 is 2

2. Where do I get the detailed procedure to find GCD of 296, 762, 56?

You can find a detailed procedure to find GCD of 296, 762, 56 on our page.

3. How to find GCD of 296, 762, 56 on a calculator?

You can find the GCD of 296, 762, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.