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 175, 778, 72, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 778, 72, 904 is 1
GCD(175, 778, 72, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 778, 72, 904 is 1
GCD(175, 778, 72, 904) = 1
Given Input numbers are 175, 778, 72, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 175, 778, 72, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 778, 72, 904 is 1.
Therefore, GCD of numbers 175, 778, 72, 904 is 1
Given Input Data is 175, 778, 72, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 778 is 2 x 389
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(175, 778) = 136150
GCD(175, 778) = ( 175 x 778 ) / 136150
GCD(175, 778) = 136150 / 136150
GCD(175, 778) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 175, 778, 72, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 778, 72, 904?
GCD of 175, 778, 72, 904 is 1
2. Where do I get the detailed procedure to find GCD of 175, 778, 72, 904?
You can find a detailed procedure to find GCD of 175, 778, 72, 904 on our page.
3. How to find GCD of 175, 778, 72, 904 on a calculator?
You can find the GCD of 175, 778, 72, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.