GCF of 5339/608, 7504/4086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5339/608, 7504/4086 i.e 1/1242144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5339/608, 7504/4086.
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 5339/608,7504/4086?
Given fractions are 5339/608,7504/4086
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 5339/608,7504/4086, numerators are 5339,7504
Denominators are 608,4086
The GCF of 5339,7504 is 1 .
LCM of 608,4086 is 1242144.
The greatest common factor of 5339/608,7504/4086 = [GCF of 5339,7504]/[LCM of 608,4086]= 1/1242144
Therefore, the GCF of 5339/608,7504/4086 is 1/1242144.
To find the highest common factor of 5339,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 5339 are 1, 19, 281, 5339
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 5339,7504 is 1.
Lets's calculate GCF of 5339,7504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5339,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 5339
:1,19,281,5339
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 5339,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 5339,7504 is 1.
Lets's calculate LCM of 608,4086
| 2 | 608, 4086 |
| 304, 2043 |
∴ So the LCM of the given numbers is 2 x 304 x 2043 = 1242144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242144
Therefore, the GCF of Fractions 5339/608,7504/4086 is 1/1242144
Least Common Multiple of 608,4086 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 608,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,4086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,4086) x common factors =2 x 1 = 2
LCM(608,4086) = ( 608 × 4086 ) / 2
LCM(608,4086) = 2484288 / 2
LCM(608,4086) = 1242144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5339/608, 7504/4086
1. What is the HCF of 5339,7504?
The HCF of 5339,7504 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 5339/608, 7504/4086?
Answer: GCF of Numerators as per given numbers 5339/608, 7504/4086 is
GCF of Numerators i.e. for 5339,7504 is 1
LCM of denominators i.e. for 608,4086 is 1242144.
Thus, GCF of Fractions is 1/1242144.Finally, GCF of Fractions for 5339/608, 7504/4086 is 1/1242144.