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, 122, 702, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 122, 702, 749 is 1
GCD(234, 122, 702, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 122, 702, 749 is 1
GCD(234, 122, 702, 749) = 1
Given Input numbers are 234, 122, 702, 749
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 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 234, 122, 702, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 122, 702, 749 is 1.
Therefore, GCD of numbers 234, 122, 702, 749 is 1
Given Input Data is 234, 122, 702, 749
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 122 is 2 x 61
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 749 is 7 x 107
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, 122) = 14274
GCD(234, 122) = ( 234 x 122 ) / 14274
GCD(234, 122) = 28548 / 14274
GCD(234, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
GCD(2, 702) = 1404 / 702
GCD(2, 702) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
GCD(2, 749) = 1498 / 1498
GCD(2, 749) = 1
GCD of 234, 122, 702, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 122, 702, 749?
GCD of 234, 122, 702, 749 is 1
2. Where do I get the detailed procedure to find GCD of 234, 122, 702, 749?
You can find a detailed procedure to find GCD of 234, 122, 702, 749 on our page.
3. How to find GCD of 234, 122, 702, 749 on a calculator?
You can find the GCD of 234, 122, 702, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.