GCF of 8947/40, 9694/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8947/40, 9694/838 i.e 1/16760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8947/40, 9694/838.
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 8947/40,9694/838?
Given fractions are 8947/40,9694/838
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 8947/40,9694/838, numerators are 8947,9694
Denominators are 40,838
The GCF of 8947,9694 is 1 .
LCM of 40,838 is 16760.
The greatest common factor of 8947/40,9694/838 = [GCF of 8947,9694]/[LCM of 40,838]= 1/16760
Therefore, the GCF of 8947/40,9694/838 is 1/16760.
To find the highest common factor of 8947,9694, we have to find the factors of both numbers and list the highest common factor.
The factors of 8947 are 1, 23, 389, 8947
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The HCF of 8947,9694 is 1.
Lets's calculate GCF of 8947,9694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8947,9694 By Matching Biggest Common Factor Method
Now, list down the factors of 8947
:1,23,389,8947
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 8947,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 8947,9694 is 1.
Lets's calculate LCM of 40,838
| 2 | 40, 838 |
| 20, 419 |
∴ So the LCM of the given numbers is 2 x 20 x 419 = 16760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16760
Therefore, the GCF of Fractions 8947/40,9694/838 is 1/16760
Least Common Multiple of 40,838 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 40,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,838) x common factors =2 x 1 = 2
LCM(40,838) = ( 40 × 838 ) / 2
LCM(40,838) = 33520 / 2
LCM(40,838) = 16760
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FAQs on GCF of Fractions of 8947/40, 9694/838
1. What is the HCF of 8947,9694?
The HCF of 8947,9694 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 8947/40, 9694/838?
Answer: GCF of Numerators as per given numbers 8947/40, 9694/838 is
GCF of Numerators i.e. for 8947,9694 is 1
LCM of denominators i.e. for 40,838 is 16760.
Thus, GCF of Fractions is 1/16760.Finally, GCF of Fractions for 8947/40, 9694/838 is 1/16760.