GCD of 968, 470, 84, 138 Calculator

Given Input numbers are 968, 470, 84, 138

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 968, 470, 84, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 470, 84, 138 is 2.

Therefore, GCD of numbers 968, 470, 84, 138 is 2

Given Input Data is 968, 470, 84, 138

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 470 is 2 x 5 x 47

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 138 is 2 x 3 x 23

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, 470) = 227480

GCD(968, 470) = ( 968 x 470 ) / 227480

GCD(968, 470) = 454960 / 227480

GCD(968, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 968, 470, 84, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 620, 24, 193
• GCD of 388, 464, 45, 243
• GCD of 300, 352, 89, 510
• GCD of 468, 742, 13, 804
• GCD of 186, 452, 28, 557

1. What is the GCD of 968, 470, 84, 138?

GCD of 968, 470, 84, 138 is 2

2. Where do I get the detailed procedure to find GCD of 968, 470, 84, 138?

You can find a detailed procedure to find GCD of 968, 470, 84, 138 on our page.

3. How to find GCD of 968, 470, 84, 138 on a calculator?

You can find the GCD of 968, 470, 84, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.