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 58, 938, 263, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 938, 263, 360 is 1
GCD(58, 938, 263, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 938, 263, 360 is 1
GCD(58, 938, 263, 360) = 1
Given Input numbers are 58, 938, 263, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 58, 938, 263, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 938, 263, 360 is 1.
Therefore, GCD of numbers 58, 938, 263, 360 is 1
Given Input Data is 58, 938, 263, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 263 is 263
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(58, 938) = 27202
GCD(58, 938) = ( 58 x 938 ) / 27202
GCD(58, 938) = 54404 / 27202
GCD(58, 938) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 263) = 526
GCD(2, 263) = ( 2 x 263 ) / 526
GCD(2, 263) = 526 / 526
GCD(2, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 58, 938, 263, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 938, 263, 360?
GCD of 58, 938, 263, 360 is 1
2. Where do I get the detailed procedure to find GCD of 58, 938, 263, 360?
You can find a detailed procedure to find GCD of 58, 938, 263, 360 on our page.
3. How to find GCD of 58, 938, 263, 360 on a calculator?
You can find the GCD of 58, 938, 263, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.