GCF of 8248/514, 4519/3220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8248/514, 4519/3220 i.e 1/827540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8248/514, 4519/3220.
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 8248/514,4519/3220?
Given fractions are 8248/514,4519/3220
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 8248/514,4519/3220, numerators are 8248,4519
Denominators are 514,3220
The GCF of 8248,4519 is 1 .
LCM of 514,3220 is 827540.
The greatest common factor of 8248/514,4519/3220 = [GCF of 8248,4519]/[LCM of 514,3220]= 1/827540
Therefore, the GCF of 8248/514,4519/3220 is 1/827540.
To find the highest common factor of 8248,4519, we have to find the factors of both numbers and list the highest common factor.
The factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248
The factors of 4519 are 1, 4519
The HCF of 8248,4519 is 1.
Lets's calculate GCF of 8248,4519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8248,4519 By Matching Biggest Common Factor Method
Now, list down the factors of 8248
:1,2,4,8,1031,2062,4124,8248
Now, list down the factors of 4519
:1,4519
Greatest Common Factor
We found the factors 8248,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,4519 is 1.
Lets's calculate LCM of 514,3220
| 2 | 514, 3220 |
| 257, 1610 |
∴ So the LCM of the given numbers is 2 x 257 x 1610 = 827540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827540
Therefore, the GCF of Fractions 8248/514,4519/3220 is 1/827540
Least Common Multiple of 514,3220 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 514,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,3220) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,3220) x common factors =2 x 1 = 2
LCM(514,3220) = ( 514 × 3220 ) / 2
LCM(514,3220) = 1655080 / 2
LCM(514,3220) = 827540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8248/514, 4519/3220
1. What is the HCF of 8248,4519?
The HCF of 8248,4519 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 8248/514, 4519/3220?
Answer: GCF of Numerators as per given numbers 8248/514, 4519/3220 is
GCF of Numerators i.e. for 8248,4519 is 1
LCM of denominators i.e. for 514,3220 is 827540.
Thus, GCF of Fractions is 1/827540.Finally, GCF of Fractions for 8248/514, 4519/3220 is 1/827540.