Use our free GCF of Fractions Calculator tool to compute the GCF of 4541/130, 6498/3715 i.e 19/96590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4541/130, 6498/3715.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4541/130,6498/3715
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 4541/130,6498/3715, numerators are 4541,6498
Denominators are 130,3715
The GCF of 4541,6498 is 19 .
LCM of 130,3715 is 96590.
The greatest common factor of 4541/130,6498/3715 = [GCF of 4541,6498]/[LCM of 130,3715]= 19/96590
Therefore, the GCF of 4541/130,6498/3715 is 19/96590.
To find the highest common factor of 4541,6498, we have to find the factors of both numbers and list the highest common factor.
The factors of 4541 are 1, 19, 239, 4541
The factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498
The HCF of 4541,6498 is 19.
Lets's calculate GCF of 4541,6498
19 | 4541, 6498 |
239, 342 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 4541
:1,19,239,4541
Now, list down the factors of 6498
:1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 4541,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 4541,6498 is 19.
Lets's calculate LCM of 130,3715
5 | 130, 3715 |
26, 743 |
∴ So the LCM of the given numbers is 5 x 26 x 743 = 96590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/96590
Therefore, the GCF of Fractions 4541/130,6498/3715 is 19/96590
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 130,3715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,3715) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,3715) x common factors =5 x 1 = 5
LCM(130,3715) = ( 130 × 3715 ) / 5
LCM(130,3715) = 482950 / 5
LCM(130,3715) = 96590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4541,6498?
The HCF of 4541,6498 is 19
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 4541/130, 6498/3715?
Answer: GCF of Numerators as per given numbers 4541/130, 6498/3715 is
GCF of Numerators i.e. for 4541,6498 is 19
LCM of denominators i.e. for 130,3715 is 96590.
Thus, GCF of Fractions is 19/96590.Finally, GCF of Fractions for 4541/130, 6498/3715 is 19/96590.