GCF of 6891/288, 3417/1098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6891/288, 3417/1098 i.e 3/17568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6891/288, 3417/1098.
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 6891/288,3417/1098?
Given fractions are 6891/288,3417/1098
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 6891/288,3417/1098, numerators are 6891,3417
Denominators are 288,1098
The GCF of 6891,3417 is 3 .
LCM of 288,1098 is 17568.
The greatest common factor of 6891/288,3417/1098 = [GCF of 6891,3417]/[LCM of 288,1098]= 3/17568
Therefore, the GCF of 6891/288,3417/1098 is 3/17568.
To find the highest common factor of 6891,3417, we have to find the factors of both numbers and list the highest common factor.
The factors of 6891 are 1, 3, 2297, 6891
The factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417
The HCF of 6891,3417 is 3.
Lets's calculate GCF of 6891,3417
| 3 | 6891, 3417 |
| 2297, 1139 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6891,3417 By Matching Biggest Common Factor Method
Now, list down the factors of 6891
:1,3,2297,6891
Now, list down the factors of 3417
:1,3,17,51,67,201,1139,3417
Greatest Common Factor
We found the factors 6891,3417 . The biggest common factor number is the GCF number.
So the greatest common factor 6891,3417 is 3.
Lets's calculate LCM of 288,1098
| 2 | 288, 1098 |
| 3 | 144, 549 |
| 3 | 48, 183 |
| 16, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 61 = 17568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17568
Therefore, the GCF of Fractions 6891/288,3417/1098 is 3/17568
Least Common Multiple of 288,1098 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 288,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,1098) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(288,1098) x common factors =18 x 1 = 18
LCM(288,1098) = ( 288 × 1098 ) / 18
LCM(288,1098) = 316224 / 18
LCM(288,1098) = 17568
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FAQs on GCF of Fractions of 6891/288, 3417/1098
1. What is the HCF of 6891,3417?
The HCF of 6891,3417 is 3
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 6891/288, 3417/1098?
Answer: GCF of Numerators as per given numbers 6891/288, 3417/1098 is
GCF of Numerators i.e. for 6891,3417 is 3
LCM of denominators i.e. for 288,1098 is 17568.
Thus, GCF of Fractions is 3/17568.Finally, GCF of Fractions for 6891/288, 3417/1098 is 3/17568.