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 948, 858, 122, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 858, 122, 187 is 1
GCD(948, 858, 122, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 858, 122, 187 is 1
GCD(948, 858, 122, 187) = 1
Given Input numbers are 948, 858, 122, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
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
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 948, 858, 122, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 858, 122, 187 is 1.
Therefore, GCD of numbers 948, 858, 122, 187 is 1
Given Input Data is 948, 858, 122, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 122 is 2 x 61
Prime Factorization of 187 is 11 x 17
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(948, 858) = 135564
GCD(948, 858) = ( 948 x 858 ) / 135564
GCD(948, 858) = 813384 / 135564
GCD(948, 858) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 122) = 366
GCD(6, 122) = ( 6 x 122 ) / 366
GCD(6, 122) = 732 / 366
GCD(6, 122) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
GCD(2, 187) = 374 / 374
GCD(2, 187) = 1
GCD of 948, 858, 122, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 858, 122, 187?
GCD of 948, 858, 122, 187 is 1
2. Where do I get the detailed procedure to find GCD of 948, 858, 122, 187?
You can find a detailed procedure to find GCD of 948, 858, 122, 187 on our page.
3. How to find GCD of 948, 858, 122, 187 on a calculator?
You can find the GCD of 948, 858, 122, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.