GCF of 61/81, 348/33, 805/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/81, 348/33, 805/498 i.e 1/147906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/81, 348/33, 805/498.
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 61/81,348/33,805/498?
Given fractions are 61/81,348/33,805/498
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 61/81,348/33,805/498, numerators are 61,348,805
Denominators are 81,33,498
The GCF of 61,348,805 is 1 .
LCM of 81,33,498 is 147906.
The greatest common factor of 61/81,348/33,805/498 = [GCF of 61,348,805]/[LCM of 81,33,498]= 1/147906
Therefore, the GCF of 61/81,348/33,805/498 is 1/147906.
To find the highest common factor of 61,348,805, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The HCF of 61,348,805 is 1.
Lets's calculate GCF of 61,348,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,348,805 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 61,348,805 . The biggest common factor number is the GCF number.
So the greatest common factor 61,348,805 is 1.
Lets's calculate LCM of 81,33,498
| 3 | 81, 33, 498 |
| 27, 11, 166 |
∴ So the LCM of the given numbers is 3 x 27 x 11 x 166 = 147906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147906
Therefore, the GCF of Fractions 61/81,348/33,805/498 is 1/147906
Least Common Multiple of 81,33,498 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 81,33,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,33,498) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(81,33,498) x common factors =3 x 3 = 9
LCM(81,33,498) = ( 81 × 33 × 498 ) / 9
LCM(81,33,498) = 1331154 / 9
LCM(81,33,498) = 147906
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FAQs on GCF of Fractions of 61/81, 348/33, 805/498
1. What is the HCF of 61,348,805?
The HCF of 61,348,805 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 61/81, 348/33, 805/498?
Answer: GCF of Numerators as per given numbers 61/81, 348/33, 805/498 is
GCF of Numerators i.e. for 61,348,805 is 1
LCM of denominators i.e. for 81,33,498 is 147906.
Thus, GCF of Fractions is 1/147906.Finally, GCF of Fractions for 61/81, 348/33, 805/498 is 1/147906.