GCF of 3901/710, 9776/2793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3901/710, 9776/2793 i.e 47/1983030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3901/710, 9776/2793.
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 3901/710,9776/2793?
Given fractions are 3901/710,9776/2793
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 3901/710,9776/2793, numerators are 3901,9776
Denominators are 710,2793
The GCF of 3901,9776 is 47 .
LCM of 710,2793 is 1983030.
The greatest common factor of 3901/710,9776/2793 = [GCF of 3901,9776]/[LCM of 710,2793]= 47/1983030
Therefore, the GCF of 3901/710,9776/2793 is 47/1983030.
To find the highest common factor of 3901,9776, we have to find the factors of both numbers and list the highest common factor.
The factors of 3901 are 1, 47, 83, 3901
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The HCF of 3901,9776 is 47.
Lets's calculate GCF of 3901,9776
| 47 | 3901, 9776 |
| 83, 208 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 3901,9776 By Matching Biggest Common Factor Method
Now, list down the factors of 3901
:1,47,83,3901
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Greatest Common Factor
We found the factors 3901,9776 . The biggest common factor number is the GCF number.
So the greatest common factor 3901,9776 is 47.
Lets's calculate LCM of 710,2793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1983030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1983030
Therefore, the GCF of Fractions 3901/710,9776/2793 is 47/1983030
Least Common Multiple of 710,2793 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 710,2793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,2793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,2793) x common factors =1 x 1 = 1
LCM(710,2793) = ( 710 × 2793 ) / 1
LCM(710,2793) = 1983030 / 1
LCM(710,2793) = 1983030
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FAQs on GCF of Fractions of 3901/710, 9776/2793
1. What is the HCF of 3901,9776?
The HCF of 3901,9776 is 47
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 3901/710, 9776/2793?
Answer: GCF of Numerators as per given numbers 3901/710, 9776/2793 is
GCF of Numerators i.e. for 3901,9776 is 47
LCM of denominators i.e. for 710,2793 is 1983030.
Thus, GCF of Fractions is 47/1983030.Finally, GCF of Fractions for 3901/710, 9776/2793 is 47/1983030.