GCD of 762, 338, 21, 902 Calculator

Given Input numbers are 762, 338, 21, 902

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

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 762, 338, 21, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 338, 21, 902 is 1.

Therefore, GCD of numbers 762, 338, 21, 902 is 1

Given Input Data is 762, 338, 21, 902

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 902 is 2 x 11 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(762, 338) = 128778

GCD(762, 338) = ( 762 x 338 ) / 128778

GCD(762, 338) = 257556 / 128778

GCD(762, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 762, 338, 21, 902 is 1

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1. What is the GCD of 762, 338, 21, 902?

GCD of 762, 338, 21, 902 is 1

2. Where do I get the detailed procedure to find GCD of 762, 338, 21, 902?

You can find a detailed procedure to find GCD of 762, 338, 21, 902 on our page.

3. How to find GCD of 762, 338, 21, 902 on a calculator?

You can find the GCD of 762, 338, 21, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.