GCD of 968, 284, 70, 682 Calculator

Given Input numbers are 968, 284, 70, 682

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 968, 284, 70, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 284, 70, 682 is 2.

Therefore, GCD of numbers 968, 284, 70, 682 is 2

Given Input Data is 968, 284, 70, 682

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 284 is 2 x 2 x 71

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 682 is 2 x 11 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, 284) = 68728

GCD(968, 284) = ( 968 x 284 ) / 68728

GCD(968, 284) = 274912 / 68728

GCD(968, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 968, 284, 70, 682 is 2

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1. What is the GCD of 968, 284, 70, 682?

GCD of 968, 284, 70, 682 is 2

2. Where do I get the detailed procedure to find GCD of 968, 284, 70, 682?

You can find a detailed procedure to find GCD of 968, 284, 70, 682 on our page.

3. How to find GCD of 968, 284, 70, 682 on a calculator?

You can find the GCD of 968, 284, 70, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.