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 475, 667, 722, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 667, 722, 118 is 1
GCD(475, 667, 722, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 667, 722, 118 is 1
GCD(475, 667, 722, 118) = 1
Given Input numbers are 475, 667, 722, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 475, 667, 722, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 667, 722, 118 is 1.
Therefore, GCD of numbers 475, 667, 722, 118 is 1
Given Input Data is 475, 667, 722, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 667 is 23 x 29
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 118 is 2 x 59
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(475, 667) = 316825
GCD(475, 667) = ( 475 x 667 ) / 316825
GCD(475, 667) = 316825 / 316825
GCD(475, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
GCD(1, 722) = 722 / 722
GCD(1, 722) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 475, 667, 722, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 667, 722, 118?
GCD of 475, 667, 722, 118 is 1
2. Where do I get the detailed procedure to find GCD of 475, 667, 722, 118?
You can find a detailed procedure to find GCD of 475, 667, 722, 118 on our page.
3. How to find GCD of 475, 667, 722, 118 on a calculator?
You can find the GCD of 475, 667, 722, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.