Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/532, 2473/6034 i.e 1/229292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/532, 2473/6034.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7130/532,2473/6034
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 7130/532,2473/6034, numerators are 7130,2473
Denominators are 532,6034
The GCF of 7130,2473 is 1 .
LCM of 532,6034 is 229292.
The greatest common factor of 7130/532,2473/6034 = [GCF of 7130,2473]/[LCM of 532,6034]= 1/229292
Therefore, the GCF of 7130/532,2473/6034 is 1/229292.
To find the highest common factor of 7130,2473, we have to find the factors of both numbers and list the highest common factor.
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The factors of 2473 are 1, 2473
The HCF of 7130,2473 is 1.
Lets's calculate GCF of 7130,2473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Now, list down the factors of 2473
:1,2473
Greatest Common Factor
We found the factors 7130,2473 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,2473 is 1.
Lets's calculate LCM of 532,6034
2 | 532, 6034 |
7 | 266, 3017 |
38, 431 |
∴ So the LCM of the given numbers is 2 x 7 x 38 x 431 = 229292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229292
Therefore, the GCF of Fractions 7130/532,2473/6034 is 1/229292
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 532,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,6034) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(532,6034) x common factors =14 x 1 = 14
LCM(532,6034) = ( 532 × 6034 ) / 14
LCM(532,6034) = 3210088 / 14
LCM(532,6034) = 229292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7130,2473?
The HCF of 7130,2473 is 1
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 7130/532, 2473/6034?
Answer: GCF of Numerators as per given numbers 7130/532, 2473/6034 is
GCF of Numerators i.e. for 7130,2473 is 1
LCM of denominators i.e. for 532,6034 is 229292.
Thus, GCF of Fractions is 1/229292.Finally, GCF of Fractions for 7130/532, 2473/6034 is 1/229292.