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, 524, 69, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 524, 69, 258 is 1
GCD(110, 524, 69, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 524, 69, 258 is 1
GCD(110, 524, 69, 258) = 1
Given Input numbers are 110, 524, 69, 258
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 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 110, 524, 69, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 524, 69, 258 is 1.
Therefore, GCD of numbers 110, 524, 69, 258 is 1
Given Input Data is 110, 524, 69, 258
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 524 is 2 x 2 x 131
Prime Factorization of 69 is 3 x 23
Prime Factorization of 258 is 2 x 3 x 43
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, 524) = 28820
GCD(110, 524) = ( 110 x 524 ) / 28820
GCD(110, 524) = 57640 / 28820
GCD(110, 524) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 110, 524, 69, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 524, 69, 258?
GCD of 110, 524, 69, 258 is 1
2. Where do I get the detailed procedure to find GCD of 110, 524, 69, 258?
You can find a detailed procedure to find GCD of 110, 524, 69, 258 on our page.
3. How to find GCD of 110, 524, 69, 258 on a calculator?
You can find the GCD of 110, 524, 69, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.