GCF of 9791/738, 5343/5715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9791/738, 5343/5715 i.e 1/468630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9791/738, 5343/5715.
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 9791/738,5343/5715?
Given fractions are 9791/738,5343/5715
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 9791/738,5343/5715, numerators are 9791,5343
Denominators are 738,5715
The GCF of 9791,5343 is 1 .
LCM of 738,5715 is 468630.
The greatest common factor of 9791/738,5343/5715 = [GCF of 9791,5343]/[LCM of 738,5715]= 1/468630
Therefore, the GCF of 9791/738,5343/5715 is 1/468630.
To find the highest common factor of 9791,5343, we have to find the factors of both numbers and list the highest common factor.
The factors of 9791 are 1, 9791
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The HCF of 9791,5343 is 1.
Lets's calculate GCF of 9791,5343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9791,5343 By Matching Biggest Common Factor Method
Now, list down the factors of 9791
:1,9791
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Greatest Common Factor
We found the factors 9791,5343 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,5343 is 1.
Lets's calculate LCM of 738,5715
| 3 | 738, 5715 |
| 3 | 246, 1905 |
| 82, 635 |
∴ So the LCM of the given numbers is 3 x 3 x 82 x 635 = 468630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468630
Therefore, the GCF of Fractions 9791/738,5343/5715 is 1/468630
Least Common Multiple of 738,5715 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 738,5715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,5715) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(738,5715) x common factors =9 x 1 = 9
LCM(738,5715) = ( 738 × 5715 ) / 9
LCM(738,5715) = 4217670 / 9
LCM(738,5715) = 468630
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FAQs on GCF of Fractions of 9791/738, 5343/5715
1. What is the HCF of 9791,5343?
The HCF of 9791,5343 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 9791/738, 5343/5715?
Answer: GCF of Numerators as per given numbers 9791/738, 5343/5715 is
GCF of Numerators i.e. for 9791,5343 is 1
LCM of denominators i.e. for 738,5715 is 468630.
Thus, GCF of Fractions is 1/468630.Finally, GCF of Fractions for 9791/738, 5343/5715 is 1/468630.