GCD of 96, 320, 694, 868 Calculator

Given Input numbers are 96, 320, 694, 868

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 96, 320, 694, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 320, 694, 868 is 2.

Therefore, GCD of numbers 96, 320, 694, 868 is 2

Given Input Data is 96, 320, 694, 868

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 694 is 2 x 347

Prime Factorization of 868 is 2 x 2 x 7 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(96, 320) = 960

GCD(96, 320) = ( 96 x 320 ) / 960

GCD(96, 320) = 30720 / 960

GCD(96, 320) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 694

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

LCM(32, 694) = 11104

GCD(32, 694) = ( 32 x 694 ) / 11104

GCD(32, 694) = 22208 / 11104

GCD(32, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

GCD of 96, 320, 694, 868 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 928, 539, 630
• GCD of 48, 974, 187, 907
• GCD of 32, 786, 118, 530
• GCD of 15, 137, 457, 781
• GCD of 12, 465, 902, 213

1. What is the GCD of 96, 320, 694, 868?

GCD of 96, 320, 694, 868 is 2

2. Where do I get the detailed procedure to find GCD of 96, 320, 694, 868?

You can find a detailed procedure to find GCD of 96, 320, 694, 868 on our page.

3. How to find GCD of 96, 320, 694, 868 on a calculator?

You can find the GCD of 96, 320, 694, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.