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 110, 962, 306, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 962, 306, 521 is 1
GCD(110, 962, 306, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 962, 306, 521 is 1
GCD(110, 962, 306, 521) = 1
Given Input numbers are 110, 962, 306, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 110, 962, 306, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 962, 306, 521 is 1.
Therefore, GCD of numbers 110, 962, 306, 521 is 1
Given Input Data is 110, 962, 306, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 521 is 521
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(110, 962) = 52910
GCD(110, 962) = ( 110 x 962 ) / 52910
GCD(110, 962) = 105820 / 52910
GCD(110, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
GCD(2, 306) = 612 / 306
GCD(2, 306) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 521) = 1042
GCD(2, 521) = ( 2 x 521 ) / 1042
GCD(2, 521) = 1042 / 1042
GCD(2, 521) = 1
GCD of 110, 962, 306, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 962, 306, 521?
GCD of 110, 962, 306, 521 is 1
2. Where do I get the detailed procedure to find GCD of 110, 962, 306, 521?
You can find a detailed procedure to find GCD of 110, 962, 306, 521 on our page.
3. How to find GCD of 110, 962, 306, 521 on a calculator?
You can find the GCD of 110, 962, 306, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.