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 742, 722, 229, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 722, 229, 352 is 1
GCD(742, 722, 229, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 722, 229, 352 is 1
GCD(742, 722, 229, 352) = 1
Given Input numbers are 742, 722, 229, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 742, 722, 229, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 722, 229, 352 is 1.
Therefore, GCD of numbers 742, 722, 229, 352 is 1
Given Input Data is 742, 722, 229, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 229 is 229
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(742, 722) = 267862
GCD(742, 722) = ( 742 x 722 ) / 267862
GCD(742, 722) = 535724 / 267862
GCD(742, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 229) = 458
GCD(2, 229) = ( 2 x 229 ) / 458
GCD(2, 229) = 458 / 458
GCD(2, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 742, 722, 229, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 722, 229, 352?
GCD of 742, 722, 229, 352 is 1
2. Where do I get the detailed procedure to find GCD of 742, 722, 229, 352?
You can find a detailed procedure to find GCD of 742, 722, 229, 352 on our page.
3. How to find GCD of 742, 722, 229, 352 on a calculator?
You can find the GCD of 742, 722, 229, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.