GCD of 910, 598, 972, 550 Calculator

Given Input numbers are 910, 598, 972, 550

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 910, 598, 972, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 598, 972, 550 is 2.

Therefore, GCD of numbers 910, 598, 972, 550 is 2

Given Input Data is 910, 598, 972, 550

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 598 is 2 x 13 x 23

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 550 is 2 x 5 x 5 x 11

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, 598) = 20930

GCD(910, 598) = ( 910 x 598 ) / 20930

GCD(910, 598) = 544180 / 20930

GCD(910, 598) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 972

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

LCM(26, 972) = 12636

GCD(26, 972) = ( 26 x 972 ) / 12636

GCD(26, 972) = 25272 / 12636

GCD(26, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

GCD of 910, 598, 972, 550 is 2

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1. What is the GCD of 910, 598, 972, 550?

GCD of 910, 598, 972, 550 is 2

2. Where do I get the detailed procedure to find GCD of 910, 598, 972, 550?

You can find a detailed procedure to find GCD of 910, 598, 972, 550 on our page.

3. How to find GCD of 910, 598, 972, 550 on a calculator?

You can find the GCD of 910, 598, 972, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.