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 875, 432, 616, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 432, 616, 144 is 1
GCD(875, 432, 616, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 432, 616, 144 is 1
GCD(875, 432, 616, 144) = 1
Given Input numbers are 875, 432, 616, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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
Greatest Common Divisior
We found the divisors of 875, 432, 616, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 432, 616, 144 is 1.
Therefore, GCD of numbers 875, 432, 616, 144 is 1
Given Input Data is 875, 432, 616, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(875, 432) = 378000
GCD(875, 432) = ( 875 x 432 ) / 378000
GCD(875, 432) = 378000 / 378000
GCD(875, 432) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 875, 432, 616, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 432, 616, 144?
GCD of 875, 432, 616, 144 is 1
2. Where do I get the detailed procedure to find GCD of 875, 432, 616, 144?
You can find a detailed procedure to find GCD of 875, 432, 616, 144 on our page.
3. How to find GCD of 875, 432, 616, 144 on a calculator?
You can find the GCD of 875, 432, 616, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.