GCF of 4163/129, 1116/1771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4163/129, 1116/1771 i.e 1/228459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4163/129, 1116/1771.
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 4163/129,1116/1771?
Given fractions are 4163/129,1116/1771
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 4163/129,1116/1771, numerators are 4163,1116
Denominators are 129,1771
The GCF of 4163,1116 is 1 .
LCM of 129,1771 is 228459.
The greatest common factor of 4163/129,1116/1771 = [GCF of 4163,1116]/[LCM of 129,1771]= 1/228459
Therefore, the GCF of 4163/129,1116/1771 is 1/228459.
To find the highest common factor of 4163,1116, we have to find the factors of both numbers and list the highest common factor.
The factors of 4163 are 1, 23, 181, 4163
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 4163,1116 is 1.
Lets's calculate GCF of 4163,1116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4163,1116 By Matching Biggest Common Factor Method
Now, list down the factors of 4163
:1,23,181,4163
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 4163,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 4163,1116 is 1.
Lets's calculate LCM of 129,1771
Given numbers has no common factors except 1. So, there LCM is their product i.e 228459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228459
Therefore, the GCF of Fractions 4163/129,1116/1771 is 1/228459
Least Common Multiple of 129,1771 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 129,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,1771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,1771) x common factors =1 x 1 = 1
LCM(129,1771) = ( 129 × 1771 ) / 1
LCM(129,1771) = 228459 / 1
LCM(129,1771) = 228459
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4163/129, 1116/1771
1. What is the HCF of 4163,1116?
The HCF of 4163,1116 is 1
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 4163/129, 1116/1771?
Answer: GCF of Numerators as per given numbers 4163/129, 1116/1771 is
GCF of Numerators i.e. for 4163,1116 is 1
LCM of denominators i.e. for 129,1771 is 228459.
Thus, GCF of Fractions is 1/228459.Finally, GCF of Fractions for 4163/129, 1116/1771 is 1/228459.