GCD of 710, 756, 362, 950 Calculator

Given Input numbers are 710, 756, 362, 950

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 710, 756, 362, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 756, 362, 950 is 2.

Therefore, GCD of numbers 710, 756, 362, 950 is 2

Given Input Data is 710, 756, 362, 950

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

Prime Factorization of 710 is 2 x 5 x 71

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 950 is 2 x 5 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(710, 756) = 268380

GCD(710, 756) = ( 710 x 756 ) / 268380

GCD(710, 756) = 536760 / 268380

GCD(710, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 710, 756, 362, 950 is 2

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1. What is the GCD of 710, 756, 362, 950?

GCD of 710, 756, 362, 950 is 2

2. Where do I get the detailed procedure to find GCD of 710, 756, 362, 950?

You can find a detailed procedure to find GCD of 710, 756, 362, 950 on our page.

3. How to find GCD of 710, 756, 362, 950 on a calculator?

You can find the GCD of 710, 756, 362, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.