GCD of 902, 153, 80, 849 Calculator

Given Input numbers are 902, 153, 80, 849

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 902, 153, 80, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 153, 80, 849 is 1.

Therefore, GCD of numbers 902, 153, 80, 849 is 1

Given Input Data is 902, 153, 80, 849

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 153 is 3 x 3 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 849 is 3 x 283

The above numbers do not have any common prime factor. So GCD is 1

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, 153) = 138006

GCD(902, 153) = ( 902 x 153 ) / 138006

GCD(902, 153) = 138006 / 138006

GCD(902, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 902, 153, 80, 849 is 1

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1. What is the GCD of 902, 153, 80, 849?

GCD of 902, 153, 80, 849 is 1

2. Where do I get the detailed procedure to find GCD of 902, 153, 80, 849?

You can find a detailed procedure to find GCD of 902, 153, 80, 849 on our page.

3. How to find GCD of 902, 153, 80, 849 on a calculator?

You can find the GCD of 902, 153, 80, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.