GCF of 8367/810, 1563/8974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8367/810, 1563/8974 i.e 3/3634470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8367/810, 1563/8974.
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 8367/810,1563/8974?
Given fractions are 8367/810,1563/8974
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 8367/810,1563/8974, numerators are 8367,1563
Denominators are 810,8974
The GCF of 8367,1563 is 3 .
LCM of 810,8974 is 3634470.
The greatest common factor of 8367/810,1563/8974 = [GCF of 8367,1563]/[LCM of 810,8974]= 3/3634470
Therefore, the GCF of 8367/810,1563/8974 is 3/3634470.
To find the highest common factor of 8367,1563, we have to find the factors of both numbers and list the highest common factor.
The factors of 8367 are 1, 3, 2789, 8367
The factors of 1563 are 1, 3, 521, 1563
The HCF of 8367,1563 is 3.
Lets's calculate GCF of 8367,1563
| 3 | 8367, 1563 |
| 2789, 521 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8367,1563 By Matching Biggest Common Factor Method
Now, list down the factors of 8367
:1,3,2789,8367
Now, list down the factors of 1563
:1,3,521,1563
Greatest Common Factor
We found the factors 8367,1563 . The biggest common factor number is the GCF number.
So the greatest common factor 8367,1563 is 3.
Lets's calculate LCM of 810,8974
| 2 | 810, 8974 |
| 405, 4487 |
∴ So the LCM of the given numbers is 2 x 405 x 4487 = 3634470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3634470
Therefore, the GCF of Fractions 8367/810,1563/8974 is 3/3634470
Least Common Multiple of 810,8974 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 810,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,8974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,8974) x common factors =2 x 1 = 2
LCM(810,8974) = ( 810 × 8974 ) / 2
LCM(810,8974) = 7268940 / 2
LCM(810,8974) = 3634470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8367/810, 1563/8974
1. What is the HCF of 8367,1563?
The HCF of 8367,1563 is 3
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 8367/810, 1563/8974?
Answer: GCF of Numerators as per given numbers 8367/810, 1563/8974 is
GCF of Numerators i.e. for 8367,1563 is 3
LCM of denominators i.e. for 810,8974 is 3634470.
Thus, GCF of Fractions is 3/3634470.Finally, GCF of Fractions for 8367/810, 1563/8974 is 3/3634470.