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 752, 222, 85, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 222, 85, 790 is 1
GCD(752, 222, 85, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 222, 85, 790 is 1
GCD(752, 222, 85, 790) = 1
Given Input numbers are 752, 222, 85, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 752, 222, 85, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 222, 85, 790 is 1.
Therefore, GCD of numbers 752, 222, 85, 790 is 1
Given Input Data is 752, 222, 85, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 85 is 5 x 17
Prime Factorization of 790 is 2 x 5 x 79
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(752, 222) = 83472
GCD(752, 222) = ( 752 x 222 ) / 83472
GCD(752, 222) = 166944 / 83472
GCD(752, 222) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 752, 222, 85, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 222, 85, 790?
GCD of 752, 222, 85, 790 is 1
2. Where do I get the detailed procedure to find GCD of 752, 222, 85, 790?
You can find a detailed procedure to find GCD of 752, 222, 85, 790 on our page.
3. How to find GCD of 752, 222, 85, 790 on a calculator?
You can find the GCD of 752, 222, 85, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.