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 376, 144, 10, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 144, 10, 879 is 1
GCD(376, 144, 10, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 144, 10, 879 is 1
GCD(376, 144, 10, 879) = 1
Given Input numbers are 376, 144, 10, 879
To find the GCD of numbers using factoring list out all the divisors of each number
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 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 376, 144, 10, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 144, 10, 879 is 1.
Therefore, GCD of numbers 376, 144, 10, 879 is 1
Given Input Data is 376, 144, 10, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 10 is 2 x 5
Prime Factorization of 879 is 3 x 293
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(376, 144) = 6768
GCD(376, 144) = ( 376 x 144 ) / 6768
GCD(376, 144) = 54144 / 6768
GCD(376, 144) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 10) = 40
GCD(8, 10) = ( 8 x 10 ) / 40
GCD(8, 10) = 80 / 40
GCD(8, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 879) = 1758
GCD(2, 879) = ( 2 x 879 ) / 1758
GCD(2, 879) = 1758 / 1758
GCD(2, 879) = 1
GCD of 376, 144, 10, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 144, 10, 879?
GCD of 376, 144, 10, 879 is 1
2. Where do I get the detailed procedure to find GCD of 376, 144, 10, 879?
You can find a detailed procedure to find GCD of 376, 144, 10, 879 on our page.
3. How to find GCD of 376, 144, 10, 879 on a calculator?
You can find the GCD of 376, 144, 10, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.