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 53, 482, 746, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 482, 746, 116 is 1
GCD(53, 482, 746, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 482, 746, 116 is 1
GCD(53, 482, 746, 116) = 1
Given Input numbers are 53, 482, 746, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 53, 482, 746, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 482, 746, 116 is 1.
Therefore, GCD of numbers 53, 482, 746, 116 is 1
Given Input Data is 53, 482, 746, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 482 is 2 x 241
Prime Factorization of 746 is 2 x 373
Prime Factorization of 116 is 2 x 2 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(53, 482) = 25546
GCD(53, 482) = ( 53 x 482 ) / 25546
GCD(53, 482) = 25546 / 25546
GCD(53, 482) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 53, 482, 746, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 482, 746, 116?
GCD of 53, 482, 746, 116 is 1
2. Where do I get the detailed procedure to find GCD of 53, 482, 746, 116?
You can find a detailed procedure to find GCD of 53, 482, 746, 116 on our page.
3. How to find GCD of 53, 482, 746, 116 on a calculator?
You can find the GCD of 53, 482, 746, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.