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 265, 914, 502, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 914, 502, 921 is 1
GCD(265, 914, 502, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 914, 502, 921 is 1
GCD(265, 914, 502, 921) = 1
Given Input numbers are 265, 914, 502, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 265, 914, 502, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 914, 502, 921 is 1.
Therefore, GCD of numbers 265, 914, 502, 921 is 1
Given Input Data is 265, 914, 502, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 914 is 2 x 457
Prime Factorization of 502 is 2 x 251
Prime Factorization of 921 is 3 x 307
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(265, 914) = 242210
GCD(265, 914) = ( 265 x 914 ) / 242210
GCD(265, 914) = 242210 / 242210
GCD(265, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 265, 914, 502, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 914, 502, 921?
GCD of 265, 914, 502, 921 is 1
2. Where do I get the detailed procedure to find GCD of 265, 914, 502, 921?
You can find a detailed procedure to find GCD of 265, 914, 502, 921 on our page.
3. How to find GCD of 265, 914, 502, 921 on a calculator?
You can find the GCD of 265, 914, 502, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.