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 85, 362, 118, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 362, 118, 629 is 1
GCD(85, 362, 118, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 362, 118, 629 is 1
GCD(85, 362, 118, 629) = 1
Given Input numbers are 85, 362, 118, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 85, 362, 118, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 362, 118, 629 is 1.
Therefore, GCD of numbers 85, 362, 118, 629 is 1
Given Input Data is 85, 362, 118, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 362 is 2 x 181
Prime Factorization of 118 is 2 x 59
Prime Factorization of 629 is 17 x 37
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(85, 362) = 30770
GCD(85, 362) = ( 85 x 362 ) / 30770
GCD(85, 362) = 30770 / 30770
GCD(85, 362) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 85, 362, 118, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 362, 118, 629?
GCD of 85, 362, 118, 629 is 1
2. Where do I get the detailed procedure to find GCD of 85, 362, 118, 629?
You can find a detailed procedure to find GCD of 85, 362, 118, 629 on our page.
3. How to find GCD of 85, 362, 118, 629 on a calculator?
You can find the GCD of 85, 362, 118, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.