GCF of 4436/189, 8876/791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4436/189, 8876/791 i.e 4/21357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4436/189, 8876/791.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4436/189,8876/791?
Given fractions are 4436/189,8876/791
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4436/189,8876/791, numerators are 4436,8876
Denominators are 189,791
The GCF of 4436,8876 is 4 .
LCM of 189,791 is 21357.
The greatest common factor of 4436/189,8876/791 = [GCF of 4436,8876]/[LCM of 189,791]= 4/21357
Therefore, the GCF of 4436/189,8876/791 is 4/21357.
To find the highest common factor of 4436,8876, we have to find the factors of both numbers and list the highest common factor.
The factors of 4436 are 1, 2, 4, 1109, 2218, 4436
The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876
The HCF of 4436,8876 is 4.
Lets's calculate GCF of 4436,8876
| 2 | 4436, 8876 |
| 2 | 2218, 4438 |
| 1109, 2219 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4436,8876 By Matching Biggest Common Factor Method
Now, list down the factors of 4436
:1,2,4,1109,2218,4436
Now, list down the factors of 8876
:1,2,4,7,14,28,317,634,1268,2219,4438,8876
Greatest Common Factor
We found the factors 4436,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 4436,8876 is 4.
Lets's calculate LCM of 189,791
| 7 | 189, 791 |
| 27, 113 |
∴ So the LCM of the given numbers is 7 x 27 x 113 = 21357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21357
Therefore, the GCF of Fractions 4436/189,8876/791 is 4/21357
Least Common Multiple of 189,791 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 189,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,791) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(189,791) x common factors =7 x 1 = 7
LCM(189,791) = ( 189 × 791 ) / 7
LCM(189,791) = 149499 / 7
LCM(189,791) = 21357
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4436/189, 8876/791
1. What is the HCF of 4436,8876?
The HCF of 4436,8876 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4436/189, 8876/791?
Answer: GCF of Numerators as per given numbers 4436/189, 8876/791 is
GCF of Numerators i.e. for 4436,8876 is 4
LCM of denominators i.e. for 189,791 is 21357.
Thus, GCF of Fractions is 4/21357.Finally, GCF of Fractions for 4436/189, 8876/791 is 4/21357.