GCF of 4613/716, 8340/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4613/716, 8340/514 i.e 1/184012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4613/716, 8340/514.
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 4613/716,8340/514?
Given fractions are 4613/716,8340/514
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 4613/716,8340/514, numerators are 4613,8340
Denominators are 716,514
The GCF of 4613,8340 is 1 .
LCM of 716,514 is 184012.
The greatest common factor of 4613/716,8340/514 = [GCF of 4613,8340]/[LCM of 716,514]= 1/184012
Therefore, the GCF of 4613/716,8340/514 is 1/184012.
To find the highest common factor of 4613,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 4613 are 1, 7, 659, 4613
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 4613,8340 is 1.
Lets's calculate GCF of 4613,8340
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4613,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 4613
:1,7,659,4613
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 4613,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 4613,8340 is 1.
Lets's calculate LCM of 716,514
| 2 | 716, 514 |
| 358, 257 |
∴ So the LCM of the given numbers is 2 x 358 x 257 = 184012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184012
Therefore, the GCF of Fractions 4613/716,8340/514 is 1/184012
Least Common Multiple of 716,514 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 716,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,514) x common factors =2 x 1 = 2
LCM(716,514) = ( 716 × 514 ) / 2
LCM(716,514) = 368024 / 2
LCM(716,514) = 184012
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4613/716, 8340/514
1. What is the HCF of 4613,8340?
The HCF of 4613,8340 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 4613/716, 8340/514?
Answer: GCF of Numerators as per given numbers 4613/716, 8340/514 is
GCF of Numerators i.e. for 4613,8340 is 1
LCM of denominators i.e. for 716,514 is 184012.
Thus, GCF of Fractions is 1/184012.Finally, GCF of Fractions for 4613/716, 8340/514 is 1/184012.