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 852, 610, 371, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 610, 371, 994 is 1
GCD(852, 610, 371, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 610, 371, 994 is 1
GCD(852, 610, 371, 994) = 1
Given Input numbers are 852, 610, 371, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 852, 610, 371, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 610, 371, 994 is 1.
Therefore, GCD of numbers 852, 610, 371, 994 is 1
Given Input Data is 852, 610, 371, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 371 is 7 x 53
Prime Factorization of 994 is 2 x 7 x 71
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(852, 610) = 259860
GCD(852, 610) = ( 852 x 610 ) / 259860
GCD(852, 610) = 519720 / 259860
GCD(852, 610) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 852, 610, 371, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 610, 371, 994?
GCD of 852, 610, 371, 994 is 1
2. Where do I get the detailed procedure to find GCD of 852, 610, 371, 994?
You can find a detailed procedure to find GCD of 852, 610, 371, 994 on our page.
3. How to find GCD of 852, 610, 371, 994 on a calculator?
You can find the GCD of 852, 610, 371, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.