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 145, 116, 94, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 116, 94, 783 is 1
GCD(145, 116, 94, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 116, 94, 783 is 1
GCD(145, 116, 94, 783) = 1
Given Input numbers are 145, 116, 94, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 145, 116, 94, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 116, 94, 783 is 1.
Therefore, GCD of numbers 145, 116, 94, 783 is 1
Given Input Data is 145, 116, 94, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 94 is 2 x 47
Prime Factorization of 783 is 3 x 3 x 3 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(145, 116) = 580
GCD(145, 116) = ( 145 x 116 ) / 580
GCD(145, 116) = 16820 / 580
GCD(145, 116) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 94) = 2726
GCD(29, 94) = ( 29 x 94 ) / 2726
GCD(29, 94) = 2726 / 2726
GCD(29, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 145, 116, 94, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 116, 94, 783?
GCD of 145, 116, 94, 783 is 1
2. Where do I get the detailed procedure to find GCD of 145, 116, 94, 783?
You can find a detailed procedure to find GCD of 145, 116, 94, 783 on our page.
3. How to find GCD of 145, 116, 94, 783 on a calculator?
You can find the GCD of 145, 116, 94, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.