GCD of 242, 702, 766, 640 Calculator

Given Input numbers are 242, 702, 766, 640

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 242, 702, 766, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 702, 766, 640 is 2.

Therefore, GCD of numbers 242, 702, 766, 640 is 2

Given Input Data is 242, 702, 766, 640

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 766 is 2 x 383

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(242, 702) = 84942

GCD(242, 702) = ( 242 x 702 ) / 84942

GCD(242, 702) = 169884 / 84942

GCD(242, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

GCD of 242, 702, 766, 640 is 2

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1. What is the GCD of 242, 702, 766, 640?

GCD of 242, 702, 766, 640 is 2

2. Where do I get the detailed procedure to find GCD of 242, 702, 766, 640?

You can find a detailed procedure to find GCD of 242, 702, 766, 640 on our page.

3. How to find GCD of 242, 702, 766, 640 on a calculator?

You can find the GCD of 242, 702, 766, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.