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 118, 658, 93, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 658, 93, 349 is 1
GCD(118, 658, 93, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 658, 93, 349 is 1
GCD(118, 658, 93, 349) = 1
Given Input numbers are 118, 658, 93, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 118, 658, 93, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 658, 93, 349 is 1.
Therefore, GCD of numbers 118, 658, 93, 349 is 1
Given Input Data is 118, 658, 93, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 93 is 3 x 31
Prime Factorization of 349 is 349
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(118, 658) = 38822
GCD(118, 658) = ( 118 x 658 ) / 38822
GCD(118, 658) = 77644 / 38822
GCD(118, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 93) = 186
GCD(2, 93) = ( 2 x 93 ) / 186
GCD(2, 93) = 186 / 186
GCD(2, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 118, 658, 93, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 658, 93, 349?
GCD of 118, 658, 93, 349 is 1
2. Where do I get the detailed procedure to find GCD of 118, 658, 93, 349?
You can find a detailed procedure to find GCD of 118, 658, 93, 349 on our page.
3. How to find GCD of 118, 658, 93, 349 on a calculator?
You can find the GCD of 118, 658, 93, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.