GCD of 950, 720, 756, 362 Calculator

Given Input numbers are 950, 720, 756, 362

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

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

Greatest Common Divisior

We found the divisors of 950, 720, 756, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 720, 756, 362 is 2.

Therefore, GCD of numbers 950, 720, 756, 362 is 2

Given Input Data is 950, 720, 756, 362

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 362 is 2 x 181

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(950, 720) = 68400

GCD(950, 720) = ( 950 x 720 ) / 68400

GCD(950, 720) = 684000 / 68400

GCD(950, 720) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 756

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

LCM(10, 756) = 3780

GCD(10, 756) = ( 10 x 756 ) / 3780

GCD(10, 756) = 7560 / 3780

GCD(10, 756) = 2

Step3:

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

GCD of 950, 720, 756, 362 is 2

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1. What is the GCD of 950, 720, 756, 362?

GCD of 950, 720, 756, 362 is 2

2. Where do I get the detailed procedure to find GCD of 950, 720, 756, 362?

You can find a detailed procedure to find GCD of 950, 720, 756, 362 on our page.

3. How to find GCD of 950, 720, 756, 362 on a calculator?

You can find the GCD of 950, 720, 756, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.