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 746, 180, 883, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 180, 883, 783 is 1
GCD(746, 180, 883, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 180, 883, 783 is 1
GCD(746, 180, 883, 783) = 1
Given Input numbers are 746, 180, 883, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
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 746, 180, 883, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 180, 883, 783 is 1.
Therefore, GCD of numbers 746, 180, 883, 783 is 1
Given Input Data is 746, 180, 883, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 883 is 883
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(746, 180) = 67140
GCD(746, 180) = ( 746 x 180 ) / 67140
GCD(746, 180) = 134280 / 67140
GCD(746, 180) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 883) = 1766
GCD(2, 883) = ( 2 x 883 ) / 1766
GCD(2, 883) = 1766 / 1766
GCD(2, 883) = 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 746, 180, 883, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 180, 883, 783?
GCD of 746, 180, 883, 783 is 1
2. Where do I get the detailed procedure to find GCD of 746, 180, 883, 783?
You can find a detailed procedure to find GCD of 746, 180, 883, 783 on our page.
3. How to find GCD of 746, 180, 883, 783 on a calculator?
You can find the GCD of 746, 180, 883, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.