GCF of 927/399, 966/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 927/399, 966/414 i.e 3/55062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/399, 966/414.
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 927/399,966/414?
Given fractions are 927/399,966/414
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 927/399,966/414, numerators are 927,966
Denominators are 399,414
The GCF of 927,966 is 3 .
LCM of 399,414 is 55062.
The greatest common factor of 927/399,966/414 = [GCF of 927,966]/[LCM of 399,414]= 3/55062
Therefore, the GCF of 927/399,966/414 is 3/55062.
To find the highest common factor of 927,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 927 are 1, 3, 9, 103, 309, 927
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 927,966 is 3.
Lets's calculate GCF of 927,966
| 3 | 927, 966 |
| 309, 322 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 927,966 By Matching Biggest Common Factor Method
Now, list down the factors of 927
:1,3,9,103,309,927
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 927,966 . The biggest common factor number is the GCF number.
So the greatest common factor 927,966 is 3.
Lets's calculate LCM of 399,414
| 3 | 399, 414 |
| 133, 138 |
∴ So the LCM of the given numbers is 3 x 133 x 138 = 55062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55062
Therefore, the GCF of Fractions 927/399,966/414 is 3/55062
Least Common Multiple of 399,414 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 399,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,414) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,414) x common factors =3 x 1 = 3
LCM(399,414) = ( 399 × 414 ) / 3
LCM(399,414) = 165186 / 3
LCM(399,414) = 55062
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FAQs on GCF of Fractions of 927/399, 966/414
1. What is the HCF of 927,966?
The HCF of 927,966 is 3
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 927/399, 966/414?
Answer: GCF of Numerators as per given numbers 927/399, 966/414 is
GCF of Numerators i.e. for 927,966 is 3
LCM of denominators i.e. for 399,414 is 55062.
Thus, GCF of Fractions is 3/55062.Finally, GCF of Fractions for 927/399, 966/414 is 3/55062.