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 945, 730, 52, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 730, 52, 282 is 1
GCD(945, 730, 52, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 730, 52, 282 is 1
GCD(945, 730, 52, 282) = 1
Given Input numbers are 945, 730, 52, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 945, 730, 52, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 730, 52, 282 is 1.
Therefore, GCD of numbers 945, 730, 52, 282 is 1
Given Input Data is 945, 730, 52, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 282 is 2 x 3 x 47
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(945, 730) = 137970
GCD(945, 730) = ( 945 x 730 ) / 137970
GCD(945, 730) = 689850 / 137970
GCD(945, 730) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 52) = 260
GCD(5, 52) = ( 5 x 52 ) / 260
GCD(5, 52) = 260 / 260
GCD(5, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 945, 730, 52, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 730, 52, 282?
GCD of 945, 730, 52, 282 is 1
2. Where do I get the detailed procedure to find GCD of 945, 730, 52, 282?
You can find a detailed procedure to find GCD of 945, 730, 52, 282 on our page.
3. How to find GCD of 945, 730, 52, 282 on a calculator?
You can find the GCD of 945, 730, 52, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.