GCD of 902, 855, 686, 914 Calculator

Given Input numbers are 902, 855, 686, 914

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 902, 855, 686, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 855, 686, 914 is 1.

Therefore, GCD of numbers 902, 855, 686, 914 is 1

Given Input Data is 902, 855, 686, 914

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 855 is 3 x 3 x 5 x 19

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 914 is 2 x 457

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, 855) = 771210

GCD(902, 855) = ( 902 x 855 ) / 771210

GCD(902, 855) = 771210 / 771210

GCD(902, 855) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 902, 855, 686, 914 is 1

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1. What is the GCD of 902, 855, 686, 914?

GCD of 902, 855, 686, 914 is 1

2. Where do I get the detailed procedure to find GCD of 902, 855, 686, 914?

You can find a detailed procedure to find GCD of 902, 855, 686, 914 on our page.

3. How to find GCD of 902, 855, 686, 914 on a calculator?

You can find the GCD of 902, 855, 686, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.