GCF of 7519/768, 2726/5298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7519/768, 2726/5298 i.e 1/678144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7519/768, 2726/5298.
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 7519/768,2726/5298?
Given fractions are 7519/768,2726/5298
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 7519/768,2726/5298, numerators are 7519,2726
Denominators are 768,5298
The GCF of 7519,2726 is 1 .
LCM of 768,5298 is 678144.
The greatest common factor of 7519/768,2726/5298 = [GCF of 7519,2726]/[LCM of 768,5298]= 1/678144
Therefore, the GCF of 7519/768,2726/5298 is 1/678144.
To find the highest common factor of 7519,2726, we have to find the factors of both numbers and list the highest common factor.
The factors of 7519 are 1, 73, 103, 7519
The factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726
The HCF of 7519,2726 is 1.
Lets's calculate GCF of 7519,2726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7519,2726 By Matching Biggest Common Factor Method
Now, list down the factors of 7519
:1,73,103,7519
Now, list down the factors of 2726
:1,2,29,47,58,94,1363,2726
Greatest Common Factor
We found the factors 7519,2726 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,2726 is 1.
Lets's calculate LCM of 768,5298
| 2 | 768, 5298 |
| 3 | 384, 2649 |
| 128, 883 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 883 = 678144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678144
Therefore, the GCF of Fractions 7519/768,2726/5298 is 1/678144
Least Common Multiple of 768,5298 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 768,5298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,5298) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,5298) x common factors =6 x 1 = 6
LCM(768,5298) = ( 768 × 5298 ) / 6
LCM(768,5298) = 4068864 / 6
LCM(768,5298) = 678144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7519/768, 2726/5298
1. What is the HCF of 7519,2726?
The HCF of 7519,2726 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 7519/768, 2726/5298?
Answer: GCF of Numerators as per given numbers 7519/768, 2726/5298 is
GCF of Numerators i.e. for 7519,2726 is 1
LCM of denominators i.e. for 768,5298 is 678144.
Thus, GCF of Fractions is 1/678144.Finally, GCF of Fractions for 7519/768, 2726/5298 is 1/678144.