GCD of 690, 908, 638, 152 Calculator

Given Input numbers are 690, 908, 638, 152

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 690, 908, 638, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 908, 638, 152 is 2.

Therefore, GCD of numbers 690, 908, 638, 152 is 2

Given Input Data is 690, 908, 638, 152

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(690, 908) = 313260

GCD(690, 908) = ( 690 x 908 ) / 313260

GCD(690, 908) = 626520 / 313260

GCD(690, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

GCD of 690, 908, 638, 152 is 2

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1. What is the GCD of 690, 908, 638, 152?

GCD of 690, 908, 638, 152 is 2

2. Where do I get the detailed procedure to find GCD of 690, 908, 638, 152?

You can find a detailed procedure to find GCD of 690, 908, 638, 152 on our page.

3. How to find GCD of 690, 908, 638, 152 on a calculator?

You can find the GCD of 690, 908, 638, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.