GCF of 81/929, 28/947, 927/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/929, 28/947, 927/388 i.e 1/341348044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/929, 28/947, 927/388.
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 81/929,28/947,927/388?
Given fractions are 81/929,28/947,927/388
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 81/929,28/947,927/388, numerators are 81,28,927
Denominators are 929,947,388
The GCF of 81,28,927 is 1 .
LCM of 929,947,388 is 341348044.
The greatest common factor of 81/929,28/947,927/388 = [GCF of 81,28,927]/[LCM of 929,947,388]= 1/341348044
Therefore, the GCF of 81/929,28/947,927/388 is 1/341348044.
To find the highest common factor of 81,28,927, 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 28 are 1, 2, 4, 7, 14, 28
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 81,28,927 is 1.
Lets's calculate GCF of 81,28,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,28,927 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 81,28,927 . The biggest common factor number is the GCF number.
So the greatest common factor 81,28,927 is 1.
Lets's calculate LCM of 929,947,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 341348044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341348044
Therefore, the GCF of Fractions 81/929,28/947,927/388 is 1/341348044
Least Common Multiple of 929,947,388 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 929,947,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,947,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,947,388) x common factors =1 x 1 = 1
LCM(929,947,388) = ( 929 × 947 × 388 ) / 1
LCM(929,947,388) = 341348044 / 1
LCM(929,947,388) = 341348044
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FAQs on GCF of Fractions of 81/929, 28/947, 927/388
1. What is the HCF of 81,28,927?
The HCF of 81,28,927 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 81/929, 28/947, 927/388?
Answer: GCF of Numerators as per given numbers 81/929, 28/947, 927/388 is
GCF of Numerators i.e. for 81,28,927 is 1
LCM of denominators i.e. for 929,947,388 is 341348044.
Thus, GCF of Fractions is 1/341348044.Finally, GCF of Fractions for 81/929, 28/947, 927/388 is 1/341348044.