GCF of 8039/715, 5617/4995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8039/715, 5617/4995 i.e 1/714285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8039/715, 5617/4995.
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 8039/715,5617/4995?
Given fractions are 8039/715,5617/4995
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 8039/715,5617/4995, numerators are 8039,5617
Denominators are 715,4995
The GCF of 8039,5617 is 1 .
LCM of 715,4995 is 714285.
The greatest common factor of 8039/715,5617/4995 = [GCF of 8039,5617]/[LCM of 715,4995]= 1/714285
Therefore, the GCF of 8039/715,5617/4995 is 1/714285.
To find the highest common factor of 8039,5617, we have to find the factors of both numbers and list the highest common factor.
The factors of 8039 are 1, 8039
The factors of 5617 are 1, 41, 137, 5617
The HCF of 8039,5617 is 1.
Lets's calculate GCF of 8039,5617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8039,5617 By Matching Biggest Common Factor Method
Now, list down the factors of 8039
:1,8039
Now, list down the factors of 5617
:1,41,137,5617
Greatest Common Factor
We found the factors 8039,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 8039,5617 is 1.
Lets's calculate LCM of 715,4995
| 5 | 715, 4995 |
| 143, 999 |
∴ So the LCM of the given numbers is 5 x 143 x 999 = 714285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/714285
Therefore, the GCF of Fractions 8039/715,5617/4995 is 1/714285
Least Common Multiple of 715,4995 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 715,4995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4995) x common factors =5 x 1 = 5
LCM(715,4995) = ( 715 × 4995 ) / 5
LCM(715,4995) = 3571425 / 5
LCM(715,4995) = 714285
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FAQs on GCF of Fractions of 8039/715, 5617/4995
1. What is the HCF of 8039,5617?
The HCF of 8039,5617 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 8039/715, 5617/4995?
Answer: GCF of Numerators as per given numbers 8039/715, 5617/4995 is
GCF of Numerators i.e. for 8039,5617 is 1
LCM of denominators i.e. for 715,4995 is 714285.
Thus, GCF of Fractions is 1/714285.Finally, GCF of Fractions for 8039/715, 5617/4995 is 1/714285.