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 126, 152, 36, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 152, 36, 375 is 1
GCD(126, 152, 36, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 152, 36, 375 is 1
GCD(126, 152, 36, 375) = 1
Given Input numbers are 126, 152, 36, 375
To find the GCD of numbers using factoring list out all the divisors of each number
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 126, 152, 36, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 152, 36, 375 is 1.
Therefore, GCD of numbers 126, 152, 36, 375 is 1
Given Input Data is 126, 152, 36, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 375 is 3 x 5 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(126, 152) = 9576
GCD(126, 152) = ( 126 x 152 ) / 9576
GCD(126, 152) = 19152 / 9576
GCD(126, 152) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
GCD(2, 375) = 750 / 750
GCD(2, 375) = 1
GCD of 126, 152, 36, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 152, 36, 375?
GCD of 126, 152, 36, 375 is 1
2. Where do I get the detailed procedure to find GCD of 126, 152, 36, 375?
You can find a detailed procedure to find GCD of 126, 152, 36, 375 on our page.
3. How to find GCD of 126, 152, 36, 375 on a calculator?
You can find the GCD of 126, 152, 36, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.