GCF of 81/715, 79/964, 831/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/715, 79/964, 831/414 i.e 1/142676820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/715, 79/964, 831/414.
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 81/715,79/964,831/414?
Given fractions are 81/715,79/964,831/414
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 81/715,79/964,831/414, numerators are 81,79,831
Denominators are 715,964,414
The GCF of 81,79,831 is 1 .
LCM of 715,964,414 is 142676820.
The greatest common factor of 81/715,79/964,831/414 = [GCF of 81,79,831]/[LCM of 715,964,414]= 1/142676820
Therefore, the GCF of 81/715,79/964,831/414 is 1/142676820.
To find the highest common factor of 81,79,831, 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 79 are 1, 79
The factors of 831 are 1, 3, 277, 831
The HCF of 81,79,831 is 1.
Lets's calculate GCF of 81,79,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,79,831 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 79
:1,79
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 81,79,831 . The biggest common factor number is the GCF number.
So the greatest common factor 81,79,831 is 1.
Lets's calculate LCM of 715,964,414
| 2 | 715, 964, 414 |
| 715, 482, 207 |
∴ So the LCM of the given numbers is 2 x 715 x 482 x 207 = 142676820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142676820
Therefore, the GCF of Fractions 81/715,79/964,831/414 is 1/142676820
Least Common Multiple of 715,964,414 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 715,964,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,964,414) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(715,964,414) x common factors =1 x 2 = 2
LCM(715,964,414) = ( 715 × 964 × 414 ) / 2
LCM(715,964,414) = 285353640 / 2
LCM(715,964,414) = 142676820
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FAQs on GCF of Fractions of 81/715, 79/964, 831/414
1. What is the HCF of 81,79,831?
The HCF of 81,79,831 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 81/715, 79/964, 831/414?
Answer: GCF of Numerators as per given numbers 81/715, 79/964, 831/414 is
GCF of Numerators i.e. for 81,79,831 is 1
LCM of denominators i.e. for 715,964,414 is 142676820.
Thus, GCF of Fractions is 1/142676820.Finally, GCF of Fractions for 81/715, 79/964, 831/414 is 1/142676820.