GCF of 81/19, 41/61, 298/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/19, 41/61, 298/677 i.e 1/784643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/19, 41/61, 298/677.
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 81/19,41/61,298/677?
Given fractions are 81/19,41/61,298/677
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 81/19,41/61,298/677, numerators are 81,41,298
Denominators are 19,61,677
The GCF of 81,41,298 is 1 .
LCM of 19,61,677 is 784643.
The greatest common factor of 81/19,41/61,298/677 = [GCF of 81,41,298]/[LCM of 19,61,677]= 1/784643
Therefore, the GCF of 81/19,41/61,298/677 is 1/784643.
To find the highest common factor of 81,41,298, 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 41 are 1, 41
The factors of 298 are 1, 2, 149, 298
The HCF of 81,41,298 is 1.
Lets's calculate GCF of 81,41,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,41,298 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 41
:1,41
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 81,41,298 . The biggest common factor number is the GCF number.
So the greatest common factor 81,41,298 is 1.
Lets's calculate LCM of 19,61,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 784643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784643
Therefore, the GCF of Fractions 81/19,41/61,298/677 is 1/784643
Least Common Multiple of 19,61,677 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 19,61,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,61,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,61,677) x common factors =1 x 1 = 1
LCM(19,61,677) = ( 19 × 61 × 677 ) / 1
LCM(19,61,677) = 784643 / 1
LCM(19,61,677) = 784643
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FAQs on GCF of Fractions of 81/19, 41/61, 298/677
1. What is the HCF of 81,41,298?
The HCF of 81,41,298 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 81/19, 41/61, 298/677?
Answer: GCF of Numerators as per given numbers 81/19, 41/61, 298/677 is
GCF of Numerators i.e. for 81,41,298 is 1
LCM of denominators i.e. for 19,61,677 is 784643.
Thus, GCF of Fractions is 1/784643.Finally, GCF of Fractions for 81/19, 41/61, 298/677 is 1/784643.