GCD of 904, 876, 84 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 904, 876, 84 quickly. Get the easiest ways to solve the greatest common divisor of 904, 876, 84 i.e 4 in different methods as follows.
Given Input numbers are 904, 876, 84
In the factoring method, we have to find the divisors of all numbers
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (904, 876, 84) = 4.
Given numbers are 904, 876, 84
The list of prime factors of all numbers are
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 84 are 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 904, 876, 84 is 4.
Steps to Calculate GCD of 904, 876, 84 using LCM Formula
Given numbers are 904, 876, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(904, 876) = 197976
GCD(904, 876) = ( 904 x 876 ) / 197976
= 904 / 876
= 904
Step2:
LCM(4, 84) = 84
GCD(4, 84) = ( 4 x 84 ) / 84
= 4 / 84
= 4
So, Greatest Common Divisor of 904, 876, 84 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 904, 876, 84
Given numbers are 904, 876, 84
The greatest common divisor of numbers 904, 876, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 876, 84 is 4.
FAQs on GCD of 904, 876, 84 Calculator
1. What is the GCD of 904, 876, 84?
GCD of given numbers 904, 876, 84 is 4
2. How to calculate the greatest common divisor of 904, 876, 84?
We can find the highest common divisor of 904, 876, 84 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 904, 876, 84 i.e 4.
3. How can I use the GCD of 904, 876, 84Calculator?
Out the numbers 904, 876, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.