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 15, 476, 262, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 476, 262, 600 is 1
GCD(15, 476, 262, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 476, 262, 600 is 1
GCD(15, 476, 262, 600) = 1
Given Input numbers are 15, 476, 262, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
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
Greatest Common Divisior
We found the divisors of 15, 476, 262, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 476, 262, 600 is 1.
Therefore, GCD of numbers 15, 476, 262, 600 is 1
Given Input Data is 15, 476, 262, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 262 is 2 x 131
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(15, 476) = 7140
GCD(15, 476) = ( 15 x 476 ) / 7140
GCD(15, 476) = 7140 / 7140
GCD(15, 476) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 15, 476, 262, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 476, 262, 600?
GCD of 15, 476, 262, 600 is 1
2. Where do I get the detailed procedure to find GCD of 15, 476, 262, 600?
You can find a detailed procedure to find GCD of 15, 476, 262, 600 on our page.
3. How to find GCD of 15, 476, 262, 600 on a calculator?
You can find the GCD of 15, 476, 262, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.