GCD of 756, 464, 90, 742 Calculator

Given Input numbers are 756, 464, 90, 742

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 756, 464, 90, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 464, 90, 742 is 2.

Therefore, GCD of numbers 756, 464, 90, 742 is 2

Given Input Data is 756, 464, 90, 742

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 742 is 2 x 7 x 53

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(756, 464) = 87696

GCD(756, 464) = ( 756 x 464 ) / 87696

GCD(756, 464) = 350784 / 87696

GCD(756, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 756, 464, 90, 742 is 2

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1. What is the GCD of 756, 464, 90, 742?

GCD of 756, 464, 90, 742 is 2

2. Where do I get the detailed procedure to find GCD of 756, 464, 90, 742?

You can find a detailed procedure to find GCD of 756, 464, 90, 742 on our page.

3. How to find GCD of 756, 464, 90, 742 on a calculator?

You can find the GCD of 756, 464, 90, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.