GCD of 746, 310, 532 Calculator

Given Input numbers are 746, 310, 532

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

Divisors of 746

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

1, 2, 373, 746

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 746, 310, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 310, 532 is 2.

Therefore, GCD of numbers 746, 310, 532 is 2

Given Input Data is 746, 310, 532

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(746, 310) = 115630

GCD(746, 310) = ( 746 x 310 ) / 115630

GCD(746, 310) = 231260 / 115630

GCD(746, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 746, 310, 532 is 2

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1. What is the GCD of 746, 310, 532?

GCD of 746, 310, 532 is 2

2. Where do I get the detailed procedure to find GCD of 746, 310, 532?

You can find a detailed procedure to find GCD of 746, 310, 532 on our page.

3. How to find GCD of 746, 310, 532 on a calculator?

You can find the GCD of 746, 310, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.