GCD of 242, 620, 478, 766 Calculator

Given Input numbers are 242, 620, 478, 766

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 766

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

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 242, 620, 478, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 620, 478, 766 is 2.

Therefore, GCD of numbers 242, 620, 478, 766 is 2

Given Input Data is 242, 620, 478, 766

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 478 is 2 x 239

Prime Factorization of 766 is 2 x 383

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, 620) = 75020

GCD(242, 620) = ( 242 x 620 ) / 75020

GCD(242, 620) = 150040 / 75020

GCD(242, 620) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

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

GCD of 242, 620, 478, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 959, 236, 901
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• GCD of 404, 873, 678, 870

1. What is the GCD of 242, 620, 478, 766?

GCD of 242, 620, 478, 766 is 2

2. Where do I get the detailed procedure to find GCD of 242, 620, 478, 766?

You can find a detailed procedure to find GCD of 242, 620, 478, 766 on our page.

3. How to find GCD of 242, 620, 478, 766 on a calculator?

You can find the GCD of 242, 620, 478, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.