GCD of 867, 748, 38, 978 Calculator

Given Input numbers are 867, 748, 38, 978

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 38

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

1, 2, 19, 38

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 867, 748, 38, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 748, 38, 978 is 1.

Therefore, GCD of numbers 867, 748, 38, 978 is 1

Given Input Data is 867, 748, 38, 978

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

Prime Factorization of 867 is 3 x 17 x 17

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 978 is 2 x 3 x 163

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(867, 748) = 38148

GCD(867, 748) = ( 867 x 748 ) / 38148

GCD(867, 748) = 648516 / 38148

GCD(867, 748) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 38

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

LCM(17, 38) = 646

GCD(17, 38) = ( 17 x 38 ) / 646

GCD(17, 38) = 646 / 646

GCD(17, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 867, 748, 38, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 891, 27, 308
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1. What is the GCD of 867, 748, 38, 978?

GCD of 867, 748, 38, 978 is 1

2. Where do I get the detailed procedure to find GCD of 867, 748, 38, 978?

You can find a detailed procedure to find GCD of 867, 748, 38, 978 on our page.

3. How to find GCD of 867, 748, 38, 978 on a calculator?

You can find the GCD of 867, 748, 38, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.