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, 126, 376, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 126, 376, 567 is 1
GCD(15, 126, 376, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 126, 376, 567 is 1
GCD(15, 126, 376, 567) = 1
Given Input numbers are 15, 126, 376, 567
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 15, 126, 376, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 126, 376, 567 is 1.
Therefore, GCD of numbers 15, 126, 376, 567 is 1
Given Input Data is 15, 126, 376, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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, 126) = 630
GCD(15, 126) = ( 15 x 126 ) / 630
GCD(15, 126) = 1890 / 630
GCD(15, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 376) = 1128
GCD(3, 376) = ( 3 x 376 ) / 1128
GCD(3, 376) = 1128 / 1128
GCD(3, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 15, 126, 376, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 126, 376, 567?
GCD of 15, 126, 376, 567 is 1
2. Where do I get the detailed procedure to find GCD of 15, 126, 376, 567?
You can find a detailed procedure to find GCD of 15, 126, 376, 567 on our page.
3. How to find GCD of 15, 126, 376, 567 on a calculator?
You can find the GCD of 15, 126, 376, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.