GCF of 8847/806, 1150/1990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8847/806, 1150/1990 i.e 1/801970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8847/806, 1150/1990.
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 8847/806,1150/1990?
Given fractions are 8847/806,1150/1990
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 8847/806,1150/1990, numerators are 8847,1150
Denominators are 806,1990
The GCF of 8847,1150 is 1 .
LCM of 806,1990 is 801970.
The greatest common factor of 8847/806,1150/1990 = [GCF of 8847,1150]/[LCM of 806,1990]= 1/801970
Therefore, the GCF of 8847/806,1150/1990 is 1/801970.
To find the highest common factor of 8847,1150, we have to find the factors of both numbers and list the highest common factor.
The factors of 8847 are 1, 3, 9, 983, 2949, 8847
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The HCF of 8847,1150 is 1.
Lets's calculate GCF of 8847,1150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8847,1150 By Matching Biggest Common Factor Method
Now, list down the factors of 8847
:1,3,9,983,2949,8847
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 8847,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 8847,1150 is 1.
Lets's calculate LCM of 806,1990
| 2 | 806, 1990 |
| 403, 995 |
∴ So the LCM of the given numbers is 2 x 403 x 995 = 801970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801970
Therefore, the GCF of Fractions 8847/806,1150/1990 is 1/801970
Least Common Multiple of 806,1990 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 806,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,1990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,1990) x common factors =2 x 1 = 2
LCM(806,1990) = ( 806 × 1990 ) / 2
LCM(806,1990) = 1603940 / 2
LCM(806,1990) = 801970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8847/806, 1150/1990
1. What is the HCF of 8847,1150?
The HCF of 8847,1150 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 8847/806, 1150/1990?
Answer: GCF of Numerators as per given numbers 8847/806, 1150/1990 is
GCF of Numerators i.e. for 8847,1150 is 1
LCM of denominators i.e. for 806,1990 is 801970.
Thus, GCF of Fractions is 1/801970.Finally, GCF of Fractions for 8847/806, 1150/1990 is 1/801970.