GCF of 5319/513, 3135/4239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5319/513, 3135/4239 i.e 3/80541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5319/513, 3135/4239.
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 5319/513,3135/4239?
Given fractions are 5319/513,3135/4239
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 5319/513,3135/4239, numerators are 5319,3135
Denominators are 513,4239
The GCF of 5319,3135 is 3 .
LCM of 513,4239 is 80541.
The greatest common factor of 5319/513,3135/4239 = [GCF of 5319,3135]/[LCM of 513,4239]= 3/80541
Therefore, the GCF of 5319/513,3135/4239 is 3/80541.
To find the highest common factor of 5319,3135, we have to find the factors of both numbers and list the highest common factor.
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The HCF of 5319,3135 is 3.
Lets's calculate GCF of 5319,3135
| 3 | 5319, 3135 |
| 1773, 1045 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5319,3135 By Matching Biggest Common Factor Method
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 5319,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,3135 is 3.
Lets's calculate LCM of 513,4239
| 3 | 513, 4239 |
| 3 | 171, 1413 |
| 3 | 57, 471 |
| 19, 157 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 157 = 80541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80541
Therefore, the GCF of Fractions 5319/513,3135/4239 is 3/80541
Least Common Multiple of 513,4239 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 513,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,4239) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(513,4239) x common factors =27 x 1 = 27
LCM(513,4239) = ( 513 × 4239 ) / 27
LCM(513,4239) = 2174607 / 27
LCM(513,4239) = 80541
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FAQs on GCF of Fractions of 5319/513, 3135/4239
1. What is the HCF of 5319,3135?
The HCF of 5319,3135 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 5319/513, 3135/4239?
Answer: GCF of Numerators as per given numbers 5319/513, 3135/4239 is
GCF of Numerators i.e. for 5319,3135 is 3
LCM of denominators i.e. for 513,4239 is 80541.
Thus, GCF of Fractions is 3/80541.Finally, GCF of Fractions for 5319/513, 3135/4239 is 3/80541.