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 423, 600, 377, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 600, 377, 883 is 1
GCD(423, 600, 377, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 600, 377, 883 is 1
GCD(423, 600, 377, 883) = 1
Given Input numbers are 423, 600, 377, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 423, 600, 377, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 600, 377, 883 is 1.
Therefore, GCD of numbers 423, 600, 377, 883 is 1
Given Input Data is 423, 600, 377, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 377 is 13 x 29
Prime Factorization of 883 is 883
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(423, 600) = 84600
GCD(423, 600) = ( 423 x 600 ) / 84600
GCD(423, 600) = 253800 / 84600
GCD(423, 600) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 377) = 1131
GCD(3, 377) = ( 3 x 377 ) / 1131
GCD(3, 377) = 1131 / 1131
GCD(3, 377) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 423, 600, 377, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 600, 377, 883?
GCD of 423, 600, 377, 883 is 1
2. Where do I get the detailed procedure to find GCD of 423, 600, 377, 883?
You can find a detailed procedure to find GCD of 423, 600, 377, 883 on our page.
3. How to find GCD of 423, 600, 377, 883 on a calculator?
You can find the GCD of 423, 600, 377, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.