GCF of 81/41, 84/805, 691/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/41, 84/805, 691/919 i.e 1/30331595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/41, 84/805, 691/919.
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 81/41,84/805,691/919?
Given fractions are 81/41,84/805,691/919
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 81/41,84/805,691/919, numerators are 81,84,691
Denominators are 41,805,919
The GCF of 81,84,691 is 1 .
LCM of 41,805,919 is 30331595.
The greatest common factor of 81/41,84/805,691/919 = [GCF of 81,84,691]/[LCM of 41,805,919]= 1/30331595
Therefore, the GCF of 81/41,84/805,691/919 is 1/30331595.
To find the highest common factor of 81,84,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 691 are 1, 691
The HCF of 81,84,691 is 1.
Lets's calculate GCF of 81,84,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,84,691 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 81,84,691 . The biggest common factor number is the GCF number.
So the greatest common factor 81,84,691 is 1.
Lets's calculate LCM of 41,805,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 30331595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30331595
Therefore, the GCF of Fractions 81/41,84/805,691/919 is 1/30331595
Least Common Multiple of 41,805,919 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 41,805,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,805,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,805,919) x common factors =1 x 1 = 1
LCM(41,805,919) = ( 41 × 805 × 919 ) / 1
LCM(41,805,919) = 30331595 / 1
LCM(41,805,919) = 30331595
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FAQs on GCF of Fractions of 81/41, 84/805, 691/919
1. What is the HCF of 81,84,691?
The HCF of 81,84,691 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 81/41, 84/805, 691/919?
Answer: GCF of Numerators as per given numbers 81/41, 84/805, 691/919 is
GCF of Numerators i.e. for 81,84,691 is 1
LCM of denominators i.e. for 41,805,919 is 30331595.
Thus, GCF of Fractions is 1/30331595.Finally, GCF of Fractions for 81/41, 84/805, 691/919 is 1/30331595.