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, 941, 574, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 941, 574, 427 is 1
GCD(852, 941, 574, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 941, 574, 427 is 1
GCD(852, 941, 574, 427) = 1
Given Input numbers are 852, 941, 574, 427
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 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 852, 941, 574, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 941, 574, 427 is 1.
Therefore, GCD of numbers 852, 941, 574, 427 is 1
Given Input Data is 852, 941, 574, 427
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 941 is 941
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 427 is 7 x 61
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, 941) = 801732
GCD(852, 941) = ( 852 x 941 ) / 801732
GCD(852, 941) = 801732 / 801732
GCD(852, 941) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 852, 941, 574, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 941, 574, 427?
GCD of 852, 941, 574, 427 is 1
2. Where do I get the detailed procedure to find GCD of 852, 941, 574, 427?
You can find a detailed procedure to find GCD of 852, 941, 574, 427 on our page.
3. How to find GCD of 852, 941, 574, 427 on a calculator?
You can find the GCD of 852, 941, 574, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.