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, 735, 547, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 735, 547, 399 is 1
GCD(118, 735, 547, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 735, 547, 399 is 1
GCD(118, 735, 547, 399) = 1
Given Input numbers are 118, 735, 547, 399
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 118, 735, 547, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 735, 547, 399 is 1.
Therefore, GCD of numbers 118, 735, 547, 399 is 1
Given Input Data is 118, 735, 547, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 547 is 547
Prime Factorization of 399 is 3 x 7 x 19
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, 735) = 86730
GCD(118, 735) = ( 118 x 735 ) / 86730
GCD(118, 735) = 86730 / 86730
GCD(118, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 547
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 547) = 547
GCD(1, 547) = ( 1 x 547 ) / 547
GCD(1, 547) = 547 / 547
GCD(1, 547) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 118, 735, 547, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 735, 547, 399?
GCD of 118, 735, 547, 399 is 1
2. Where do I get the detailed procedure to find GCD of 118, 735, 547, 399?
You can find a detailed procedure to find GCD of 118, 735, 547, 399 on our page.
3. How to find GCD of 118, 735, 547, 399 on a calculator?
You can find the GCD of 118, 735, 547, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.