GCD of 902, 880, 738, 550 Calculator

Given Input numbers are 902, 880, 738, 550

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 902, 880, 738, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 880, 738, 550 is 2.

Therefore, GCD of numbers 902, 880, 738, 550 is 2

Given Input Data is 902, 880, 738, 550

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(902, 880) = 36080

GCD(902, 880) = ( 902 x 880 ) / 36080

GCD(902, 880) = 793760 / 36080

GCD(902, 880) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 738

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

LCM(22, 738) = 8118

GCD(22, 738) = ( 22 x 738 ) / 8118

GCD(22, 738) = 16236 / 8118

GCD(22, 738) = 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 902, 880, 738, 550 is 2

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1. What is the GCD of 902, 880, 738, 550?

GCD of 902, 880, 738, 550 is 2

2. Where do I get the detailed procedure to find GCD of 902, 880, 738, 550?

You can find a detailed procedure to find GCD of 902, 880, 738, 550 on our page.

3. How to find GCD of 902, 880, 738, 550 on a calculator?

You can find the GCD of 902, 880, 738, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.