GCF of 4281/638, 9348/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4281/638, 9348/848 i.e 3/270512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4281/638, 9348/848.
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 4281/638,9348/848?
Given fractions are 4281/638,9348/848
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 4281/638,9348/848, numerators are 4281,9348
Denominators are 638,848
The GCF of 4281,9348 is 3 .
LCM of 638,848 is 270512.
The greatest common factor of 4281/638,9348/848 = [GCF of 4281,9348]/[LCM of 638,848]= 3/270512
Therefore, the GCF of 4281/638,9348/848 is 3/270512.
To find the highest common factor of 4281,9348, we have to find the factors of both numbers and list the highest common factor.
The factors of 4281 are 1, 3, 1427, 4281
The factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348
The HCF of 4281,9348 is 3.
Lets's calculate GCF of 4281,9348
| 3 | 4281, 9348 |
| 1427, 3116 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4281,9348 By Matching Biggest Common Factor Method
Now, list down the factors of 4281
:1,3,1427,4281
Now, list down the factors of 9348
:1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348
Greatest Common Factor
We found the factors 4281,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 4281,9348 is 3.
Lets's calculate LCM of 638,848
| 2 | 638, 848 |
| 319, 424 |
∴ So the LCM of the given numbers is 2 x 319 x 424 = 270512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/270512
Therefore, the GCF of Fractions 4281/638,9348/848 is 3/270512
Least Common Multiple of 638,848 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 638,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,848) x common factors =2 x 1 = 2
LCM(638,848) = ( 638 × 848 ) / 2
LCM(638,848) = 541024 / 2
LCM(638,848) = 270512
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4281/638, 9348/848
1. What is the HCF of 4281,9348?
The HCF of 4281,9348 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 4281/638, 9348/848?
Answer: GCF of Numerators as per given numbers 4281/638, 9348/848 is
GCF of Numerators i.e. for 4281,9348 is 3
LCM of denominators i.e. for 638,848 is 270512.
Thus, GCF of Fractions is 3/270512.Finally, GCF of Fractions for 4281/638, 9348/848 is 3/270512.