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 88, 442, 777, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 442, 777, 174 is 1
GCD(88, 442, 777, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 442, 777, 174 is 1
GCD(88, 442, 777, 174) = 1
Given Input numbers are 88, 442, 777, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 88, 442, 777, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 442, 777, 174 is 1.
Therefore, GCD of numbers 88, 442, 777, 174 is 1
Given Input Data is 88, 442, 777, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 174 is 2 x 3 x 29
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(88, 442) = 19448
GCD(88, 442) = ( 88 x 442 ) / 19448
GCD(88, 442) = 38896 / 19448
GCD(88, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
GCD(2, 777) = 1554 / 1554
GCD(2, 777) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 88, 442, 777, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 442, 777, 174?
GCD of 88, 442, 777, 174 is 1
2. Where do I get the detailed procedure to find GCD of 88, 442, 777, 174?
You can find a detailed procedure to find GCD of 88, 442, 777, 174 on our page.
3. How to find GCD of 88, 442, 777, 174 on a calculator?
You can find the GCD of 88, 442, 777, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.