GCD of 742, 116, 264, 760 Calculator

Given Input numbers are 742, 116, 264, 760

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 742, 116, 264, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 116, 264, 760 is 2.

Therefore, GCD of numbers 742, 116, 264, 760 is 2

Given Input Data is 742, 116, 264, 760

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(742, 116) = 43036

GCD(742, 116) = ( 742 x 116 ) / 43036

GCD(742, 116) = 86072 / 43036

GCD(742, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

GCD of 742, 116, 264, 760 is 2

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1. What is the GCD of 742, 116, 264, 760?

GCD of 742, 116, 264, 760 is 2

2. Where do I get the detailed procedure to find GCD of 742, 116, 264, 760?

You can find a detailed procedure to find GCD of 742, 116, 264, 760 on our page.

3. How to find GCD of 742, 116, 264, 760 on a calculator?

You can find the GCD of 742, 116, 264, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.