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 975, 494, 252, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 494, 252, 263 is 1
GCD(975, 494, 252, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 494, 252, 263 is 1
GCD(975, 494, 252, 263) = 1
Given Input numbers are 975, 494, 252, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 975, 494, 252, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 494, 252, 263 is 1.
Therefore, GCD of numbers 975, 494, 252, 263 is 1
Given Input Data is 975, 494, 252, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 263 is 263
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(975, 494) = 37050
GCD(975, 494) = ( 975 x 494 ) / 37050
GCD(975, 494) = 481650 / 37050
GCD(975, 494) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 252) = 3276
GCD(13, 252) = ( 13 x 252 ) / 3276
GCD(13, 252) = 3276 / 3276
GCD(13, 252) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 975, 494, 252, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 494, 252, 263?
GCD of 975, 494, 252, 263 is 1
2. Where do I get the detailed procedure to find GCD of 975, 494, 252, 263?
You can find a detailed procedure to find GCD of 975, 494, 252, 263 on our page.
3. How to find GCD of 975, 494, 252, 263 on a calculator?
You can find the GCD of 975, 494, 252, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.