GCD of 960, 756, 72, 662 Calculator

Given Input numbers are 960, 756, 72, 662

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 960, 756, 72, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 756, 72, 662 is 2.

Therefore, GCD of numbers 960, 756, 72, 662 is 2

Given Input Data is 960, 756, 72, 662

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 662 is 2 x 331

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(960, 756) = 60480

GCD(960, 756) = ( 960 x 756 ) / 60480

GCD(960, 756) = 725760 / 60480

GCD(960, 756) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 72

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

LCM(12, 72) = 72

GCD(12, 72) = ( 12 x 72 ) / 72

GCD(12, 72) = 864 / 72

GCD(12, 72) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 662

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

LCM(12, 662) = 3972

GCD(12, 662) = ( 12 x 662 ) / 3972

GCD(12, 662) = 7944 / 3972

GCD(12, 662) = 2

GCD of 960, 756, 72, 662 is 2

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• GCD of 508, 385, 38, 849
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• GCD of 177, 696, 21, 251

1. What is the GCD of 960, 756, 72, 662?

GCD of 960, 756, 72, 662 is 2

2. Where do I get the detailed procedure to find GCD of 960, 756, 72, 662?

You can find a detailed procedure to find GCD of 960, 756, 72, 662 on our page.

3. How to find GCD of 960, 756, 72, 662 on a calculator?

You can find the GCD of 960, 756, 72, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.