GCF of 7039/741, 4315/9972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7039/741, 4315/9972 i.e 1/2463084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7039/741, 4315/9972.
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 7039/741,4315/9972?
Given fractions are 7039/741,4315/9972
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 7039/741,4315/9972, numerators are 7039,4315
Denominators are 741,9972
The GCF of 7039,4315 is 1 .
LCM of 741,9972 is 2463084.
The greatest common factor of 7039/741,4315/9972 = [GCF of 7039,4315]/[LCM of 741,9972]= 1/2463084
Therefore, the GCF of 7039/741,4315/9972 is 1/2463084.
To find the highest common factor of 7039,4315, we have to find the factors of both numbers and list the highest common factor.
The factors of 7039 are 1, 7039
The factors of 4315 are 1, 5, 863, 4315
The HCF of 7039,4315 is 1.
Lets's calculate GCF of 7039,4315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7039,4315 By Matching Biggest Common Factor Method
Now, list down the factors of 7039
:1,7039
Now, list down the factors of 4315
:1,5,863,4315
Greatest Common Factor
We found the factors 7039,4315 . The biggest common factor number is the GCF number.
So the greatest common factor 7039,4315 is 1.
Lets's calculate LCM of 741,9972
| 3 | 741, 9972 |
| 247, 3324 |
∴ So the LCM of the given numbers is 3 x 247 x 3324 = 2463084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2463084
Therefore, the GCF of Fractions 7039/741,4315/9972 is 1/2463084
Least Common Multiple of 741,9972 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 741,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,9972) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,9972) x common factors =3 x 1 = 3
LCM(741,9972) = ( 741 × 9972 ) / 3
LCM(741,9972) = 7389252 / 3
LCM(741,9972) = 2463084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7039/741, 4315/9972
1. What is the HCF of 7039,4315?
The HCF of 7039,4315 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 7039/741, 4315/9972?
Answer: GCF of Numerators as per given numbers 7039/741, 4315/9972 is
GCF of Numerators i.e. for 7039,4315 is 1
LCM of denominators i.e. for 741,9972 is 2463084.
Thus, GCF of Fractions is 1/2463084.Finally, GCF of Fractions for 7039/741, 4315/9972 is 1/2463084.