GCD of 240, 762, 626, 960 Calculator

Given Input numbers are 240, 762, 626, 960

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

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

Greatest Common Divisior

We found the divisors of 240, 762, 626, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 762, 626, 960 is 2.

Therefore, GCD of numbers 240, 762, 626, 960 is 2

Given Input Data is 240, 762, 626, 960

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 626 is 2 x 313

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

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(240, 762) = 30480

GCD(240, 762) = ( 240 x 762 ) / 30480

GCD(240, 762) = 182880 / 30480

GCD(240, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 626

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

LCM(6, 626) = 1878

GCD(6, 626) = ( 6 x 626 ) / 1878

GCD(6, 626) = 3756 / 1878

GCD(6, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 240, 762, 626, 960 is 2

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1. What is the GCD of 240, 762, 626, 960?

GCD of 240, 762, 626, 960 is 2

2. Where do I get the detailed procedure to find GCD of 240, 762, 626, 960?

You can find a detailed procedure to find GCD of 240, 762, 626, 960 on our page.

3. How to find GCD of 240, 762, 626, 960 on a calculator?

You can find the GCD of 240, 762, 626, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.