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, 358, 175, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 358, 175, 302 is 1
GCD(88, 358, 175, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 358, 175, 302 is 1
GCD(88, 358, 175, 302) = 1
Given Input numbers are 88, 358, 175, 302
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 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 88, 358, 175, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 358, 175, 302 is 1.
Therefore, GCD of numbers 88, 358, 175, 302 is 1
Given Input Data is 88, 358, 175, 302
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 358 is 2 x 179
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 302 is 2 x 151
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, 358) = 15752
GCD(88, 358) = ( 88 x 358 ) / 15752
GCD(88, 358) = 31504 / 15752
GCD(88, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 175) = 350
GCD(2, 175) = ( 2 x 175 ) / 350
GCD(2, 175) = 350 / 350
GCD(2, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 88, 358, 175, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 358, 175, 302?
GCD of 88, 358, 175, 302 is 1
2. Where do I get the detailed procedure to find GCD of 88, 358, 175, 302?
You can find a detailed procedure to find GCD of 88, 358, 175, 302 on our page.
3. How to find GCD of 88, 358, 175, 302 on a calculator?
You can find the GCD of 88, 358, 175, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.