Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 902, 620, 31, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 620, 31, 914 is 1
GCD(902, 620, 31, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 620, 31, 914 is 1
GCD(902, 620, 31, 914) = 1
Given Input numbers are 902, 620, 31, 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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
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, 620, 31, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 620, 31, 914 is 1.
Therefore, GCD of numbers 902, 620, 31, 914 is 1
Given Input Data is 902, 620, 31, 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 620 is 2 x 2 x 5 x 31
Prime Factorization of 31 is 31
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, 620) = 279620
GCD(902, 620) = ( 902 x 620 ) / 279620
GCD(902, 620) = 559240 / 279620
GCD(902, 620) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 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, 620, 31, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 620, 31, 914?
GCD of 902, 620, 31, 914 is 1
2. Where do I get the detailed procedure to find GCD of 902, 620, 31, 914?
You can find a detailed procedure to find GCD of 902, 620, 31, 914 on our page.
3. How to find GCD of 902, 620, 31, 914 on a calculator?
You can find the GCD of 902, 620, 31, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.