GCF of 9463/723, 1610/6891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9463/723, 1610/6891 i.e 1/1660731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9463/723, 1610/6891.
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 9463/723,1610/6891?
Given fractions are 9463/723,1610/6891
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 9463/723,1610/6891, numerators are 9463,1610
Denominators are 723,6891
The GCF of 9463,1610 is 1 .
LCM of 723,6891 is 1660731.
The greatest common factor of 9463/723,1610/6891 = [GCF of 9463,1610]/[LCM of 723,6891]= 1/1660731
Therefore, the GCF of 9463/723,1610/6891 is 1/1660731.
To find the highest common factor of 9463,1610, we have to find the factors of both numbers and list the highest common factor.
The factors of 9463 are 1, 9463
The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
The HCF of 9463,1610 is 1.
Lets's calculate GCF of 9463,1610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9463,1610 By Matching Biggest Common Factor Method
Now, list down the factors of 9463
:1,9463
Now, list down the factors of 1610
:1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Greatest Common Factor
We found the factors 9463,1610 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,1610 is 1.
Lets's calculate LCM of 723,6891
| 3 | 723, 6891 |
| 241, 2297 |
∴ So the LCM of the given numbers is 3 x 241 x 2297 = 1660731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1660731
Therefore, the GCF of Fractions 9463/723,1610/6891 is 1/1660731
Least Common Multiple of 723,6891 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 723,6891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,6891) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,6891) x common factors =3 x 1 = 3
LCM(723,6891) = ( 723 × 6891 ) / 3
LCM(723,6891) = 4982193 / 3
LCM(723,6891) = 1660731
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FAQs on GCF of Fractions of 9463/723, 1610/6891
1. What is the HCF of 9463,1610?
The HCF of 9463,1610 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 9463/723, 1610/6891?
Answer: GCF of Numerators as per given numbers 9463/723, 1610/6891 is
GCF of Numerators i.e. for 9463,1610 is 1
LCM of denominators i.e. for 723,6891 is 1660731.
Thus, GCF of Fractions is 1/1660731.Finally, GCF of Fractions for 9463/723, 1610/6891 is 1/1660731.