GCD of 910, 962, 878, 322 Calculator

Given Input numbers are 910, 962, 878, 322

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 910, 962, 878, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 962, 878, 322 is 2.

Therefore, GCD of numbers 910, 962, 878, 322 is 2

Given Input Data is 910, 962, 878, 322

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 878 is 2 x 439

Prime Factorization of 322 is 2 x 7 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(910, 962) = 33670

GCD(910, 962) = ( 910 x 962 ) / 33670

GCD(910, 962) = 875420 / 33670

GCD(910, 962) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 878

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

LCM(26, 878) = 11414

GCD(26, 878) = ( 26 x 878 ) / 11414

GCD(26, 878) = 22828 / 11414

GCD(26, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

GCD of 910, 962, 878, 322 is 2

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1. What is the GCD of 910, 962, 878, 322?

GCD of 910, 962, 878, 322 is 2

2. Where do I get the detailed procedure to find GCD of 910, 962, 878, 322?

You can find a detailed procedure to find GCD of 910, 962, 878, 322 on our page.

3. How to find GCD of 910, 962, 878, 322 on a calculator?

You can find the GCD of 910, 962, 878, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.