GCF of 7259/113, 6466/8487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7259/113, 6466/8487 i.e 61/959031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7259/113, 6466/8487.
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 7259/113,6466/8487?
Given fractions are 7259/113,6466/8487
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 7259/113,6466/8487, numerators are 7259,6466
Denominators are 113,8487
The GCF of 7259,6466 is 61 .
LCM of 113,8487 is 959031.
The greatest common factor of 7259/113,6466/8487 = [GCF of 7259,6466]/[LCM of 113,8487]= 61/959031
Therefore, the GCF of 7259/113,6466/8487 is 61/959031.
To find the highest common factor of 7259,6466, we have to find the factors of both numbers and list the highest common factor.
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466
The HCF of 7259,6466 is 61.
Lets's calculate GCF of 7259,6466
| 61 | 7259, 6466 |
| 119, 106 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 7259,6466 By Matching Biggest Common Factor Method
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Now, list down the factors of 6466
:1,2,53,61,106,122,3233,6466
Greatest Common Factor
We found the factors 7259,6466 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,6466 is 61.
Lets's calculate LCM of 113,8487
Given numbers has no common factors except 1. So, there LCM is their product i.e 959031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/959031
Therefore, the GCF of Fractions 7259/113,6466/8487 is 61/959031
Least Common Multiple of 113,8487 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 113,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,8487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,8487) x common factors =1 x 1 = 1
LCM(113,8487) = ( 113 × 8487 ) / 1
LCM(113,8487) = 959031 / 1
LCM(113,8487) = 959031
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7259/113, 6466/8487
1. What is the HCF of 7259,6466?
The HCF of 7259,6466 is 61
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 7259/113, 6466/8487?
Answer: GCF of Numerators as per given numbers 7259/113, 6466/8487 is
GCF of Numerators i.e. for 7259,6466 is 61
LCM of denominators i.e. for 113,8487 is 959031.
Thus, GCF of Fractions is 61/959031.Finally, GCF of Fractions for 7259/113, 6466/8487 is 61/959031.