GCF of 4128/861, 7171/1874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4128/861, 7171/1874 i.e 1/1613514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4128/861, 7171/1874.
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 4128/861,7171/1874?
Given fractions are 4128/861,7171/1874
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 4128/861,7171/1874, numerators are 4128,7171
Denominators are 861,1874
The GCF of 4128,7171 is 1 .
LCM of 861,1874 is 1613514.
The greatest common factor of 4128/861,7171/1874 = [GCF of 4128,7171]/[LCM of 861,1874]= 1/1613514
Therefore, the GCF of 4128/861,7171/1874 is 1/1613514.
To find the highest common factor of 4128,7171, we have to find the factors of both numbers and list the highest common factor.
The factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128
The factors of 7171 are 1, 71, 101, 7171
The HCF of 4128,7171 is 1.
Lets's calculate GCF of 4128,7171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4128,7171 By Matching Biggest Common Factor Method
Now, list down the factors of 4128
:1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Now, list down the factors of 7171
:1,71,101,7171
Greatest Common Factor
We found the factors 4128,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 4128,7171 is 1.
Lets's calculate LCM of 861,1874
Given numbers has no common factors except 1. So, there LCM is their product i.e 1613514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1613514
Therefore, the GCF of Fractions 4128/861,7171/1874 is 1/1613514
Least Common Multiple of 861,1874 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 861,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,1874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,1874) x common factors =1 x 1 = 1
LCM(861,1874) = ( 861 × 1874 ) / 1
LCM(861,1874) = 1613514 / 1
LCM(861,1874) = 1613514
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4128/861, 7171/1874
1. What is the HCF of 4128,7171?
The HCF of 4128,7171 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 4128/861, 7171/1874?
Answer: GCF of Numerators as per given numbers 4128/861, 7171/1874 is
GCF of Numerators i.e. for 4128,7171 is 1
LCM of denominators i.e. for 861,1874 is 1613514.
Thus, GCF of Fractions is 1/1613514.Finally, GCF of Fractions for 4128/861, 7171/1874 is 1/1613514.