GCF of 1141/691, 9291/7866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1141/691, 9291/7866 i.e 163/5435406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1141/691, 9291/7866.
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 1141/691,9291/7866?
Given fractions are 1141/691,9291/7866
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 1141/691,9291/7866, numerators are 1141,9291
Denominators are 691,7866
The GCF of 1141,9291 is 163 .
LCM of 691,7866 is 5435406.
The greatest common factor of 1141/691,9291/7866 = [GCF of 1141,9291]/[LCM of 691,7866]= 163/5435406
Therefore, the GCF of 1141/691,9291/7866 is 163/5435406.
To find the highest common factor of 1141,9291, we have to find the factors of both numbers and list the highest common factor.
The factors of 1141 are 1, 7, 163, 1141
The factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291
The HCF of 1141,9291 is 163.
Lets's calculate GCF of 1141,9291
| 163 | 1141, 9291 |
| 7, 57 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 1141,9291 By Matching Biggest Common Factor Method
Now, list down the factors of 1141
:1,7,163,1141
Now, list down the factors of 9291
:1,3,19,57,163,489,3097,9291
Greatest Common Factor
We found the factors 1141,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 1141,9291 is 163.
Lets's calculate LCM of 691,7866
Given numbers has no common factors except 1. So, there LCM is their product i.e 5435406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/5435406
Therefore, the GCF of Fractions 1141/691,9291/7866 is 163/5435406
Least Common Multiple of 691,7866 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 691,7866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,7866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,7866) x common factors =1 x 1 = 1
LCM(691,7866) = ( 691 × 7866 ) / 1
LCM(691,7866) = 5435406 / 1
LCM(691,7866) = 5435406
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FAQs on GCF of Fractions of 1141/691, 9291/7866
1. What is the HCF of 1141,9291?
The HCF of 1141,9291 is 163
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 1141/691, 9291/7866?
Answer: GCF of Numerators as per given numbers 1141/691, 9291/7866 is
GCF of Numerators i.e. for 1141,9291 is 163
LCM of denominators i.e. for 691,7866 is 5435406.
Thus, GCF of Fractions is 163/5435406.Finally, GCF of Fractions for 1141/691, 9291/7866 is 163/5435406.