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 504, 102, 203, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 504, 102, 203, 760 is 1
GCD(504, 102, 203, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 504, 102, 203, 760 is 1
GCD(504, 102, 203, 760) = 1
Given Input numbers are 504, 102, 203, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
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 504, 102, 203, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 102, 203, 760 is 1.
Therefore, GCD of numbers 504, 102, 203, 760 is 1
Given Input Data is 504, 102, 203, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 203 is 7 x 29
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(504, 102) = 8568
GCD(504, 102) = ( 504 x 102 ) / 8568
GCD(504, 102) = 51408 / 8568
GCD(504, 102) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 203) = 1218
GCD(6, 203) = ( 6 x 203 ) / 1218
GCD(6, 203) = 1218 / 1218
GCD(6, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 504, 102, 203, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 504, 102, 203, 760?
GCD of 504, 102, 203, 760 is 1
2. Where do I get the detailed procedure to find GCD of 504, 102, 203, 760?
You can find a detailed procedure to find GCD of 504, 102, 203, 760 on our page.
3. How to find GCD of 504, 102, 203, 760 on a calculator?
You can find the GCD of 504, 102, 203, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.