GCF of 3859/224, 4471/8103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3859/224, 4471/8103 i.e 17/1815072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3859/224, 4471/8103.
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 3859/224,4471/8103?
Given fractions are 3859/224,4471/8103
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 3859/224,4471/8103, numerators are 3859,4471
Denominators are 224,8103
The GCF of 3859,4471 is 17 .
LCM of 224,8103 is 1815072.
The greatest common factor of 3859/224,4471/8103 = [GCF of 3859,4471]/[LCM of 224,8103]= 17/1815072
Therefore, the GCF of 3859/224,4471/8103 is 17/1815072.
To find the highest common factor of 3859,4471, we have to find the factors of both numbers and list the highest common factor.
The factors of 3859 are 1, 17, 227, 3859
The factors of 4471 are 1, 17, 263, 4471
The HCF of 3859,4471 is 17.
Lets's calculate GCF of 3859,4471
| 17 | 3859, 4471 |
| 227, 263 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3859,4471 By Matching Biggest Common Factor Method
Now, list down the factors of 3859
:1,17,227,3859
Now, list down the factors of 4471
:1,17,263,4471
Greatest Common Factor
We found the factors 3859,4471 . The biggest common factor number is the GCF number.
So the greatest common factor 3859,4471 is 17.
Lets's calculate LCM of 224,8103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1815072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1815072
Therefore, the GCF of Fractions 3859/224,4471/8103 is 17/1815072
Least Common Multiple of 224,8103 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 224,8103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,8103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,8103) x common factors =1 x 1 = 1
LCM(224,8103) = ( 224 × 8103 ) / 1
LCM(224,8103) = 1815072 / 1
LCM(224,8103) = 1815072
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3859/224, 4471/8103
1. What is the HCF of 3859,4471?
The HCF of 3859,4471 is 17
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 3859/224, 4471/8103?
Answer: GCF of Numerators as per given numbers 3859/224, 4471/8103 is
GCF of Numerators i.e. for 3859,4471 is 17
LCM of denominators i.e. for 224,8103 is 1815072.
Thus, GCF of Fractions is 17/1815072.Finally, GCF of Fractions for 3859/224, 4471/8103 is 17/1815072.