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 234, 266, 63, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 266, 63, 753 is 1
GCD(234, 266, 63, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 266, 63, 753 is 1
GCD(234, 266, 63, 753) = 1
Given Input numbers are 234, 266, 63, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 234, 266, 63, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 266, 63, 753 is 1.
Therefore, GCD of numbers 234, 266, 63, 753 is 1
Given Input Data is 234, 266, 63, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 753 is 3 x 251
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(234, 266) = 31122
GCD(234, 266) = ( 234 x 266 ) / 31122
GCD(234, 266) = 62244 / 31122
GCD(234, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 234, 266, 63, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 266, 63, 753?
GCD of 234, 266, 63, 753 is 1
2. Where do I get the detailed procedure to find GCD of 234, 266, 63, 753?
You can find a detailed procedure to find GCD of 234, 266, 63, 753 on our page.
3. How to find GCD of 234, 266, 63, 753 on a calculator?
You can find the GCD of 234, 266, 63, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.