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 146, 582, 574, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 582, 574, 777 is 1
GCD(146, 582, 574, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 582, 574, 777 is 1
GCD(146, 582, 574, 777) = 1
Given Input numbers are 146, 582, 574, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 146, 582, 574, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 582, 574, 777 is 1.
Therefore, GCD of numbers 146, 582, 574, 777 is 1
Given Input Data is 146, 582, 574, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 777 is 3 x 7 x 37
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(146, 582) = 42486
GCD(146, 582) = ( 146 x 582 ) / 42486
GCD(146, 582) = 84972 / 42486
GCD(146, 582) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
GCD(2, 574) = 1148 / 574
GCD(2, 574) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
GCD(2, 777) = 1554 / 1554
GCD(2, 777) = 1
GCD of 146, 582, 574, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 582, 574, 777?
GCD of 146, 582, 574, 777 is 1
2. Where do I get the detailed procedure to find GCD of 146, 582, 574, 777?
You can find a detailed procedure to find GCD of 146, 582, 574, 777 on our page.
3. How to find GCD of 146, 582, 574, 777 on a calculator?
You can find the GCD of 146, 582, 574, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.