GCF of 6495/214, 4191/2578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6495/214, 4191/2578 i.e 3/275846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6495/214, 4191/2578.
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 6495/214,4191/2578?
Given fractions are 6495/214,4191/2578
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 6495/214,4191/2578, numerators are 6495,4191
Denominators are 214,2578
The GCF of 6495,4191 is 3 .
LCM of 214,2578 is 275846.
The greatest common factor of 6495/214,4191/2578 = [GCF of 6495,4191]/[LCM of 214,2578]= 3/275846
Therefore, the GCF of 6495/214,4191/2578 is 3/275846.
To find the highest common factor of 6495,4191, we have to find the factors of both numbers and list the highest common factor.
The factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The HCF of 6495,4191 is 3.
Lets's calculate GCF of 6495,4191
| 3 | 6495, 4191 |
| 2165, 1397 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6495,4191 By Matching Biggest Common Factor Method
Now, list down the factors of 6495
:1,3,5,15,433,1299,2165,6495
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Greatest Common Factor
We found the factors 6495,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 6495,4191 is 3.
Lets's calculate LCM of 214,2578
| 2 | 214, 2578 |
| 107, 1289 |
∴ So the LCM of the given numbers is 2 x 107 x 1289 = 275846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/275846
Therefore, the GCF of Fractions 6495/214,4191/2578 is 3/275846
Least Common Multiple of 214,2578 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 214,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,2578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,2578) x common factors =2 x 1 = 2
LCM(214,2578) = ( 214 × 2578 ) / 2
LCM(214,2578) = 551692 / 2
LCM(214,2578) = 275846
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FAQs on GCF of Fractions of 6495/214, 4191/2578
1. What is the HCF of 6495,4191?
The HCF of 6495,4191 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 6495/214, 4191/2578?
Answer: GCF of Numerators as per given numbers 6495/214, 4191/2578 is
GCF of Numerators i.e. for 6495,4191 is 3
LCM of denominators i.e. for 214,2578 is 275846.
Thus, GCF of Fractions is 3/275846.Finally, GCF of Fractions for 6495/214, 4191/2578 is 3/275846.