GCF of 3287/642, 9929/4148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3287/642, 9929/4148 i.e 1/1331508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3287/642, 9929/4148.
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 3287/642,9929/4148?
Given fractions are 3287/642,9929/4148
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 3287/642,9929/4148, numerators are 3287,9929
Denominators are 642,4148
The GCF of 3287,9929 is 1 .
LCM of 642,4148 is 1331508.
The greatest common factor of 3287/642,9929/4148 = [GCF of 3287,9929]/[LCM of 642,4148]= 1/1331508
Therefore, the GCF of 3287/642,9929/4148 is 1/1331508.
To find the highest common factor of 3287,9929, we have to find the factors of both numbers and list the highest common factor.
The factors of 3287 are 1, 19, 173, 3287
The factors of 9929 are 1, 9929
The HCF of 3287,9929 is 1.
Lets's calculate GCF of 3287,9929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3287,9929 By Matching Biggest Common Factor Method
Now, list down the factors of 3287
:1,19,173,3287
Now, list down the factors of 9929
:1,9929
Greatest Common Factor
We found the factors 3287,9929 . The biggest common factor number is the GCF number.
So the greatest common factor 3287,9929 is 1.
Lets's calculate LCM of 642,4148
| 2 | 642, 4148 |
| 321, 2074 |
∴ So the LCM of the given numbers is 2 x 321 x 2074 = 1331508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1331508
Therefore, the GCF of Fractions 3287/642,9929/4148 is 1/1331508
Least Common Multiple of 642,4148 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 642,4148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,4148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,4148) x common factors =2 x 1 = 2
LCM(642,4148) = ( 642 × 4148 ) / 2
LCM(642,4148) = 2663016 / 2
LCM(642,4148) = 1331508
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3287/642, 9929/4148
1. What is the HCF of 3287,9929?
The HCF of 3287,9929 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 3287/642, 9929/4148?
Answer: GCF of Numerators as per given numbers 3287/642, 9929/4148 is
GCF of Numerators i.e. for 3287,9929 is 1
LCM of denominators i.e. for 642,4148 is 1331508.
Thus, GCF of Fractions is 1/1331508.Finally, GCF of Fractions for 3287/642, 9929/4148 is 1/1331508.