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 59, 995, 121, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 995, 121, 858 is 1
GCD(59, 995, 121, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 995, 121, 858 is 1
GCD(59, 995, 121, 858) = 1
Given Input numbers are 59, 995, 121, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 59, 995, 121, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 995, 121, 858 is 1.
Therefore, GCD of numbers 59, 995, 121, 858 is 1
Given Input Data is 59, 995, 121, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 995 is 5 x 199
Prime Factorization of 121 is 11 x 11
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(59, 995) = 58705
GCD(59, 995) = ( 59 x 995 ) / 58705
GCD(59, 995) = 58705 / 58705
GCD(59, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 59, 995, 121, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 995, 121, 858?
GCD of 59, 995, 121, 858 is 1
2. Where do I get the detailed procedure to find GCD of 59, 995, 121, 858?
You can find a detailed procedure to find GCD of 59, 995, 121, 858 on our page.
3. How to find GCD of 59, 995, 121, 858 on a calculator?
You can find the GCD of 59, 995, 121, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.