GCF of 7891/495, 5291/1805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7891/495, 5291/1805 i.e 13/178695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7891/495, 5291/1805.
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 7891/495,5291/1805?
Given fractions are 7891/495,5291/1805
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 7891/495,5291/1805, numerators are 7891,5291
Denominators are 495,1805
The GCF of 7891,5291 is 13 .
LCM of 495,1805 is 178695.
The greatest common factor of 7891/495,5291/1805 = [GCF of 7891,5291]/[LCM of 495,1805]= 13/178695
Therefore, the GCF of 7891/495,5291/1805 is 13/178695.
To find the highest common factor of 7891,5291, we have to find the factors of both numbers and list the highest common factor.
The factors of 7891 are 1, 13, 607, 7891
The factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291
The HCF of 7891,5291 is 13.
Lets's calculate GCF of 7891,5291
| 13 | 7891, 5291 |
| 607, 407 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7891,5291 By Matching Biggest Common Factor Method
Now, list down the factors of 7891
:1,13,607,7891
Now, list down the factors of 5291
:1,11,13,37,143,407,481,5291
Greatest Common Factor
We found the factors 7891,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 7891,5291 is 13.
Lets's calculate LCM of 495,1805
| 5 | 495, 1805 |
| 99, 361 |
∴ So the LCM of the given numbers is 5 x 99 x 361 = 178695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/178695
Therefore, the GCF of Fractions 7891/495,5291/1805 is 13/178695
Least Common Multiple of 495,1805 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 495,1805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,1805) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(495,1805) x common factors =5 x 1 = 5
LCM(495,1805) = ( 495 × 1805 ) / 5
LCM(495,1805) = 893475 / 5
LCM(495,1805) = 178695
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FAQs on GCF of Fractions of 7891/495, 5291/1805
1. What is the HCF of 7891,5291?
The HCF of 7891,5291 is 13
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 7891/495, 5291/1805?
Answer: GCF of Numerators as per given numbers 7891/495, 5291/1805 is
GCF of Numerators i.e. for 7891,5291 is 13
LCM of denominators i.e. for 495,1805 is 178695.
Thus, GCF of Fractions is 13/178695.Finally, GCF of Fractions for 7891/495, 5291/1805 is 13/178695.