GCD of 902, 206, 50, 720 Calculator

Given Input numbers are 902, 206, 50, 720

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 902, 206, 50, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 206, 50, 720 is 2.

Therefore, GCD of numbers 902, 206, 50, 720 is 2

Given Input Data is 902, 206, 50, 720

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 206 is 2 x 103

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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, 206) = 92906

GCD(902, 206) = ( 902 x 206 ) / 92906

GCD(902, 206) = 185812 / 92906

GCD(902, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 902, 206, 50, 720 is 2

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1. What is the GCD of 902, 206, 50, 720?

GCD of 902, 206, 50, 720 is 2

2. Where do I get the detailed procedure to find GCD of 902, 206, 50, 720?

You can find a detailed procedure to find GCD of 902, 206, 50, 720 on our page.

3. How to find GCD of 902, 206, 50, 720 on a calculator?

You can find the GCD of 902, 206, 50, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.