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, 558, 93, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 558, 93, 760 is 1
GCD(852, 558, 93, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 558, 93, 760 is 1
GCD(852, 558, 93, 760) = 1
Given Input numbers are 852, 558, 93, 760
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 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 852, 558, 93, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 558, 93, 760 is 1.
Therefore, GCD of numbers 852, 558, 93, 760 is 1
Given Input Data is 852, 558, 93, 760
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 558 is 2 x 3 x 3 x 31
Prime Factorization of 93 is 3 x 31
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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, 558) = 79236
GCD(852, 558) = ( 852 x 558 ) / 79236
GCD(852, 558) = 475416 / 79236
GCD(852, 558) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 93) = 186
GCD(6, 93) = ( 6 x 93 ) / 186
GCD(6, 93) = 558 / 186
GCD(6, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 760) = 2280
GCD(3, 760) = ( 3 x 760 ) / 2280
GCD(3, 760) = 2280 / 2280
GCD(3, 760) = 1
GCD of 852, 558, 93, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 558, 93, 760?
GCD of 852, 558, 93, 760 is 1
2. Where do I get the detailed procedure to find GCD of 852, 558, 93, 760?
You can find a detailed procedure to find GCD of 852, 558, 93, 760 on our page.
3. How to find GCD of 852, 558, 93, 760 on a calculator?
You can find the GCD of 852, 558, 93, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.