GCF of 2514/808, 2361/4782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2514/808, 2361/4782 i.e 3/1931928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2514/808, 2361/4782.
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 2514/808,2361/4782?
Given fractions are 2514/808,2361/4782
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 2514/808,2361/4782, numerators are 2514,2361
Denominators are 808,4782
The GCF of 2514,2361 is 3 .
LCM of 808,4782 is 1931928.
The greatest common factor of 2514/808,2361/4782 = [GCF of 2514,2361]/[LCM of 808,4782]= 3/1931928
Therefore, the GCF of 2514/808,2361/4782 is 3/1931928.
To find the highest common factor of 2514,2361, we have to find the factors of both numbers and list the highest common factor.
The factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514
The factors of 2361 are 1, 3, 787, 2361
The HCF of 2514,2361 is 3.
Lets's calculate GCF of 2514,2361
| 3 | 2514, 2361 |
| 838, 787 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2514,2361 By Matching Biggest Common Factor Method
Now, list down the factors of 2514
:1,2,3,6,419,838,1257,2514
Now, list down the factors of 2361
:1,3,787,2361
Greatest Common Factor
We found the factors 2514,2361 . The biggest common factor number is the GCF number.
So the greatest common factor 2514,2361 is 3.
Lets's calculate LCM of 808,4782
| 2 | 808, 4782 |
| 404, 2391 |
∴ So the LCM of the given numbers is 2 x 404 x 2391 = 1931928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1931928
Therefore, the GCF of Fractions 2514/808,2361/4782 is 3/1931928
Least Common Multiple of 808,4782 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 808,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,4782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,4782) x common factors =2 x 1 = 2
LCM(808,4782) = ( 808 × 4782 ) / 2
LCM(808,4782) = 3863856 / 2
LCM(808,4782) = 1931928
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FAQs on GCF of Fractions of 2514/808, 2361/4782
1. What is the HCF of 2514,2361?
The HCF of 2514,2361 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 2514/808, 2361/4782?
Answer: GCF of Numerators as per given numbers 2514/808, 2361/4782 is
GCF of Numerators i.e. for 2514,2361 is 3
LCM of denominators i.e. for 808,4782 is 1931928.
Thus, GCF of Fractions is 3/1931928.Finally, GCF of Fractions for 2514/808, 2361/4782 is 3/1931928.