GCF of 7466/287, 1676/4184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7466/287, 1676/4184 i.e 2/1200808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7466/287, 1676/4184.
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 7466/287,1676/4184?
Given fractions are 7466/287,1676/4184
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 7466/287,1676/4184, numerators are 7466,1676
Denominators are 287,4184
The GCF of 7466,1676 is 2 .
LCM of 287,4184 is 1200808.
The greatest common factor of 7466/287,1676/4184 = [GCF of 7466,1676]/[LCM of 287,4184]= 2/1200808
Therefore, the GCF of 7466/287,1676/4184 is 2/1200808.
To find the highest common factor of 7466,1676, we have to find the factors of both numbers and list the highest common factor.
The factors of 7466 are 1, 2, 3733, 7466
The factors of 1676 are 1, 2, 4, 419, 838, 1676
The HCF of 7466,1676 is 2.
Lets's calculate GCF of 7466,1676
| 2 | 7466, 1676 |
| 3733, 838 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7466,1676 By Matching Biggest Common Factor Method
Now, list down the factors of 7466
:1,2,3733,7466
Now, list down the factors of 1676
:1,2,4,419,838,1676
Greatest Common Factor
We found the factors 7466,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,1676 is 2.
Lets's calculate LCM of 287,4184
Given numbers has no common factors except 1. So, there LCM is their product i.e 1200808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1200808
Therefore, the GCF of Fractions 7466/287,1676/4184 is 2/1200808
Least Common Multiple of 287,4184 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 287,4184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,4184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,4184) x common factors =1 x 1 = 1
LCM(287,4184) = ( 287 × 4184 ) / 1
LCM(287,4184) = 1200808 / 1
LCM(287,4184) = 1200808
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7466/287, 1676/4184
1. What is the HCF of 7466,1676?
The HCF of 7466,1676 is 2
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 7466/287, 1676/4184?
Answer: GCF of Numerators as per given numbers 7466/287, 1676/4184 is
GCF of Numerators i.e. for 7466,1676 is 2
LCM of denominators i.e. for 287,4184 is 1200808.
Thus, GCF of Fractions is 2/1200808.Finally, GCF of Fractions for 7466/287, 1676/4184 is 2/1200808.