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, 635, 114, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 635, 114, 120 is 1
GCD(85, 635, 114, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 635, 114, 120 is 1
GCD(85, 635, 114, 120) = 1
Given Input numbers are 85, 635, 114, 120
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 85, 635, 114, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 635, 114, 120 is 1.
Therefore, GCD of numbers 85, 635, 114, 120 is 1
Given Input Data is 85, 635, 114, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 635 is 5 x 127
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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, 635) = 10795
GCD(85, 635) = ( 85 x 635 ) / 10795
GCD(85, 635) = 53975 / 10795
GCD(85, 635) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 114) = 570
GCD(5, 114) = ( 5 x 114 ) / 570
GCD(5, 114) = 570 / 570
GCD(5, 114) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 85, 635, 114, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 635, 114, 120?
GCD of 85, 635, 114, 120 is 1
2. Where do I get the detailed procedure to find GCD of 85, 635, 114, 120?
You can find a detailed procedure to find GCD of 85, 635, 114, 120 on our page.
3. How to find GCD of 85, 635, 114, 120 on a calculator?
You can find the GCD of 85, 635, 114, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.