GCD of 968, 690, 78, 248 Calculator

Given Input numbers are 968, 690, 78, 248

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

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 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 78

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

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 968, 690, 78, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 690, 78, 248 is 2.

Therefore, GCD of numbers 968, 690, 78, 248 is 2

Given Input Data is 968, 690, 78, 248

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

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

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(968, 690) = 333960

GCD(968, 690) = ( 968 x 690 ) / 333960

GCD(968, 690) = 667920 / 333960

GCD(968, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

GCD of 968, 690, 78, 248 is 2

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1. What is the GCD of 968, 690, 78, 248?

GCD of 968, 690, 78, 248 is 2

2. Where do I get the detailed procedure to find GCD of 968, 690, 78, 248?

You can find a detailed procedure to find GCD of 968, 690, 78, 248 on our page.

3. How to find GCD of 968, 690, 78, 248 on a calculator?

You can find the GCD of 968, 690, 78, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.