GCD of 78, 378, 968, 917 Calculator

Given Input numbers are 78, 378, 968, 917

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 78, 378, 968, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 378, 968, 917 is 1.

Therefore, GCD of numbers 78, 378, 968, 917 is 1

Given Input Data is 78, 378, 968, 917

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 917 is 7 x 131

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(78, 378) = 4914

GCD(78, 378) = ( 78 x 378 ) / 4914

GCD(78, 378) = 29484 / 4914

GCD(78, 378) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 968

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

LCM(6, 968) = 2904

GCD(6, 968) = ( 6 x 968 ) / 2904

GCD(6, 968) = 5808 / 2904

GCD(6, 968) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 78, 378, 968, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 746, 924, 691
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• GCD of 28, 817, 872, 304
• GCD of 49, 787, 120, 360
• GCD of 50, 286, 217, 391

1. What is the GCD of 78, 378, 968, 917?

GCD of 78, 378, 968, 917 is 1

2. Where do I get the detailed procedure to find GCD of 78, 378, 968, 917?

You can find a detailed procedure to find GCD of 78, 378, 968, 917 on our page.

3. How to find GCD of 78, 378, 968, 917 on a calculator?

You can find the GCD of 78, 378, 968, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.