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, 381, 263, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 381, 263, 699 is 1
GCD(852, 381, 263, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 381, 263, 699 is 1
GCD(852, 381, 263, 699) = 1
Given Input numbers are 852, 381, 263, 699
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 852, 381, 263, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 381, 263, 699 is 1.
Therefore, GCD of numbers 852, 381, 263, 699 is 1
Given Input Data is 852, 381, 263, 699
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 381 is 3 x 127
Prime Factorization of 263 is 263
Prime Factorization of 699 is 3 x 233
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, 381) = 108204
GCD(852, 381) = ( 852 x 381 ) / 108204
GCD(852, 381) = 324612 / 108204
GCD(852, 381) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 263) = 789
GCD(3, 263) = ( 3 x 263 ) / 789
GCD(3, 263) = 789 / 789
GCD(3, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 852, 381, 263, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 381, 263, 699?
GCD of 852, 381, 263, 699 is 1
2. Where do I get the detailed procedure to find GCD of 852, 381, 263, 699?
You can find a detailed procedure to find GCD of 852, 381, 263, 699 on our page.
3. How to find GCD of 852, 381, 263, 699 on a calculator?
You can find the GCD of 852, 381, 263, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.