GCF of 9896/140, 8031/8814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9896/140, 8031/8814 i.e 1/616980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9896/140, 8031/8814.
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 9896/140,8031/8814?
Given fractions are 9896/140,8031/8814
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 9896/140,8031/8814, numerators are 9896,8031
Denominators are 140,8814
The GCF of 9896,8031 is 1 .
LCM of 140,8814 is 616980.
The greatest common factor of 9896/140,8031/8814 = [GCF of 9896,8031]/[LCM of 140,8814]= 1/616980
Therefore, the GCF of 9896/140,8031/8814 is 1/616980.
To find the highest common factor of 9896,8031, we have to find the factors of both numbers and list the highest common factor.
The factors of 9896 are 1, 2, 4, 8, 1237, 2474, 4948, 9896
The factors of 8031 are 1, 3, 2677, 8031
The HCF of 9896,8031 is 1.
Lets's calculate GCF of 9896,8031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9896,8031 By Matching Biggest Common Factor Method
Now, list down the factors of 9896
:1,2,4,8,1237,2474,4948,9896
Now, list down the factors of 8031
:1,3,2677,8031
Greatest Common Factor
We found the factors 9896,8031 . The biggest common factor number is the GCF number.
So the greatest common factor 9896,8031 is 1.
Lets's calculate LCM of 140,8814
| 2 | 140, 8814 |
| 70, 4407 |
∴ So the LCM of the given numbers is 2 x 70 x 4407 = 616980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616980
Therefore, the GCF of Fractions 9896/140,8031/8814 is 1/616980
Least Common Multiple of 140,8814 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 140,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,8814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,8814) x common factors =2 x 1 = 2
LCM(140,8814) = ( 140 × 8814 ) / 2
LCM(140,8814) = 1233960 / 2
LCM(140,8814) = 616980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9896/140, 8031/8814
1. What is the HCF of 9896,8031?
The HCF of 9896,8031 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 9896/140, 8031/8814?
Answer: GCF of Numerators as per given numbers 9896/140, 8031/8814 is
GCF of Numerators i.e. for 9896,8031 is 1
LCM of denominators i.e. for 140,8814 is 616980.
Thus, GCF of Fractions is 1/616980.Finally, GCF of Fractions for 9896/140, 8031/8814 is 1/616980.