GCF of 9747/736, 4978/6511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9747/736, 4978/6511 i.e 19/4792096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9747/736, 4978/6511.
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 9747/736,4978/6511?
Given fractions are 9747/736,4978/6511
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 9747/736,4978/6511, numerators are 9747,4978
Denominators are 736,6511
The GCF of 9747,4978 is 19 .
LCM of 736,6511 is 4792096.
The greatest common factor of 9747/736,4978/6511 = [GCF of 9747,4978]/[LCM of 736,6511]= 19/4792096
Therefore, the GCF of 9747/736,4978/6511 is 19/4792096.
To find the highest common factor of 9747,4978, we have to find the factors of both numbers and list the highest common factor.
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The HCF of 9747,4978 is 19.
Lets's calculate GCF of 9747,4978
| 19 | 9747, 4978 |
| 513, 262 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9747,4978 By Matching Biggest Common Factor Method
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Greatest Common Factor
We found the factors 9747,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 9747,4978 is 19.
Lets's calculate LCM of 736,6511
Given numbers has no common factors except 1. So, there LCM is their product i.e 4792096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4792096
Therefore, the GCF of Fractions 9747/736,4978/6511 is 19/4792096
Least Common Multiple of 736,6511 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 736,6511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,6511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,6511) x common factors =1 x 1 = 1
LCM(736,6511) = ( 736 × 6511 ) / 1
LCM(736,6511) = 4792096 / 1
LCM(736,6511) = 4792096
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FAQs on GCF of Fractions of 9747/736, 4978/6511
1. What is the HCF of 9747,4978?
The HCF of 9747,4978 is 19
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 9747/736, 4978/6511?
Answer: GCF of Numerators as per given numbers 9747/736, 4978/6511 is
GCF of Numerators i.e. for 9747,4978 is 19
LCM of denominators i.e. for 736,6511 is 4792096.
Thus, GCF of Fractions is 19/4792096.Finally, GCF of Fractions for 9747/736, 4978/6511 is 19/4792096.