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 229, 762, 52, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 762, 52, 986 is 1
GCD(229, 762, 52, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 762, 52, 986 is 1
GCD(229, 762, 52, 986) = 1
Given Input numbers are 229, 762, 52, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 229, 762, 52, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 762, 52, 986 is 1.
Therefore, GCD of numbers 229, 762, 52, 986 is 1
Given Input Data is 229, 762, 52, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 986 is 2 x 17 x 29
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(229, 762) = 174498
GCD(229, 762) = ( 229 x 762 ) / 174498
GCD(229, 762) = 174498 / 174498
GCD(229, 762) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 229, 762, 52, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 762, 52, 986?
GCD of 229, 762, 52, 986 is 1
2. Where do I get the detailed procedure to find GCD of 229, 762, 52, 986?
You can find a detailed procedure to find GCD of 229, 762, 52, 986 on our page.
3. How to find GCD of 229, 762, 52, 986 on a calculator?
You can find the GCD of 229, 762, 52, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.