GCF of 3358/261, 6214/8727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3358/261, 6214/8727 i.e 2/759249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3358/261, 6214/8727.
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 3358/261,6214/8727?
Given fractions are 3358/261,6214/8727
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 3358/261,6214/8727, numerators are 3358,6214
Denominators are 261,8727
The GCF of 3358,6214 is 2 .
LCM of 261,8727 is 759249.
The greatest common factor of 3358/261,6214/8727 = [GCF of 3358,6214]/[LCM of 261,8727]= 2/759249
Therefore, the GCF of 3358/261,6214/8727 is 2/759249.
To find the highest common factor of 3358,6214, we have to find the factors of both numbers and list the highest common factor.
The factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358
The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214
The HCF of 3358,6214 is 2.
Lets's calculate GCF of 3358,6214
| 2 | 3358, 6214 |
| 1679, 3107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3358,6214 By Matching Biggest Common Factor Method
Now, list down the factors of 3358
:1,2,23,46,73,146,1679,3358
Now, list down the factors of 6214
:1,2,13,26,239,478,3107,6214
Greatest Common Factor
We found the factors 3358,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 3358,6214 is 2.
Lets's calculate LCM of 261,8727
| 3 | 261, 8727 |
| 87, 2909 |
∴ So the LCM of the given numbers is 3 x 87 x 2909 = 759249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/759249
Therefore, the GCF of Fractions 3358/261,6214/8727 is 2/759249
Least Common Multiple of 261,8727 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 261,8727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,8727) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,8727) x common factors =3 x 1 = 3
LCM(261,8727) = ( 261 × 8727 ) / 3
LCM(261,8727) = 2277747 / 3
LCM(261,8727) = 759249
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3358/261, 6214/8727
1. What is the HCF of 3358,6214?
The HCF of 3358,6214 is 2
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 3358/261, 6214/8727?
Answer: GCF of Numerators as per given numbers 3358/261, 6214/8727 is
GCF of Numerators i.e. for 3358,6214 is 2
LCM of denominators i.e. for 261,8727 is 759249.
Thus, GCF of Fractions is 2/759249.Finally, GCF of Fractions for 3358/261, 6214/8727 is 2/759249.