GCD of 879, 180, 31, 275 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 879, 180, 31, 275 quickly. Get the easiest ways to solve the greatest common divisor of 879, 180, 31, 275 i.e 1 in different methods as follows.
Given Input numbers are 879, 180, 31, 275
In the factoring method, we have to find the divisors of all numbers
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (879, 180, 31, 275) = 1.
Given numbers are 879, 180, 31, 275
The list of prime factors of all numbers are
Prime factors of 879 are 3 x 293
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 31 are 31
Prime factors of 275 are 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 879, 180, 31, 275 using LCM Formula
Given numbers are 879, 180, 31, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(879, 180) = 52740
GCD(879, 180) = ( 879 x 180 ) / 52740
= 879 / 180
= 879
Step2:
LCM(3, 31) = 93
GCD(3, 31) = ( 3 x 31 ) / 93
= 3 / 31
= 3
Step3:
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
= 1 / 275
= 1
So, Greatest Common Divisor of 879, 180, 31, 275 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 879, 180, 31, 275
Given numbers are 879, 180, 31, 275
The greatest common divisor of numbers 879, 180, 31, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 180, 31, 275 is 1.
FAQs on GCD of 879, 180, 31, 275 Calculator
1. What is the GCD of 879, 180, 31, 275?
GCD of given numbers 879, 180, 31, 275 is 1
2. How to calculate the greatest common divisor of 879, 180, 31, 275?
We can find the highest common divisor of 879, 180, 31, 275 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 879, 180, 31, 275 i.e 1.
3. How can I use the GCD of 879, 180, 31, 275Calculator?
Out the numbers 879, 180, 31, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.