GCD of 158, 638, 748, 686 Calculator

Given Input numbers are 158, 638, 748, 686

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 158, 638, 748, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 638, 748, 686 is 2.

Therefore, GCD of numbers 158, 638, 748, 686 is 2

Given Input Data is 158, 638, 748, 686

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(158, 638) = 50402

GCD(158, 638) = ( 158 x 638 ) / 50402

GCD(158, 638) = 100804 / 50402

GCD(158, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 158, 638, 748, 686 is 2

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1. What is the GCD of 158, 638, 748, 686?

GCD of 158, 638, 748, 686 is 2

2. Where do I get the detailed procedure to find GCD of 158, 638, 748, 686?

You can find a detailed procedure to find GCD of 158, 638, 748, 686 on our page.

3. How to find GCD of 158, 638, 748, 686 on a calculator?

You can find the GCD of 158, 638, 748, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.