GCD of 902, 142, 38, 668 Calculator

Given Input numbers are 902, 142, 38, 668

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

Divisors of 902

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

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 902, 142, 38, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 142, 38, 668 is 2.

Therefore, GCD of numbers 902, 142, 38, 668 is 2

Given Input Data is 902, 142, 38, 668

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 142 is 2 x 71

Prime Factorization of 38 is 2 x 19

Prime Factorization of 668 is 2 x 2 x 167

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(902, 142) = 64042

GCD(902, 142) = ( 902 x 142 ) / 64042

GCD(902, 142) = 128084 / 64042

GCD(902, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 902, 142, 38, 668 is 2

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1. What is the GCD of 902, 142, 38, 668?

GCD of 902, 142, 38, 668 is 2

2. Where do I get the detailed procedure to find GCD of 902, 142, 38, 668?

You can find a detailed procedure to find GCD of 902, 142, 38, 668 on our page.

3. How to find GCD of 902, 142, 38, 668 on a calculator?

You can find the GCD of 902, 142, 38, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.