GCF of 3927/40, 4311/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3927/40, 4311/174 i.e 3/3480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3927/40, 4311/174.
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 3927/40,4311/174?
Given fractions are 3927/40,4311/174
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 3927/40,4311/174, numerators are 3927,4311
Denominators are 40,174
The GCF of 3927,4311 is 3 .
LCM of 40,174 is 3480.
The greatest common factor of 3927/40,4311/174 = [GCF of 3927,4311]/[LCM of 40,174]= 3/3480
Therefore, the GCF of 3927/40,4311/174 is 3/3480.
To find the highest common factor of 3927,4311, we have to find the factors of both numbers and list the highest common factor.
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The factors of 4311 are 1, 3, 9, 479, 1437, 4311
The HCF of 3927,4311 is 3.
Lets's calculate GCF of 3927,4311
| 3 | 3927, 4311 |
| 1309, 1437 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3927,4311 By Matching Biggest Common Factor Method
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Now, list down the factors of 4311
:1,3,9,479,1437,4311
Greatest Common Factor
We found the factors 3927,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 3927,4311 is 3.
Lets's calculate LCM of 40,174
| 2 | 40, 174 |
| 20, 87 |
∴ So the LCM of the given numbers is 2 x 20 x 87 = 3480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3480
Therefore, the GCF of Fractions 3927/40,4311/174 is 3/3480
Least Common Multiple of 40,174 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 40,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,174) x common factors =2 x 1 = 2
LCM(40,174) = ( 40 × 174 ) / 2
LCM(40,174) = 6960 / 2
LCM(40,174) = 3480
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FAQs on GCF of Fractions of 3927/40, 4311/174
1. What is the HCF of 3927,4311?
The HCF of 3927,4311 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 3927/40, 4311/174?
Answer: GCF of Numerators as per given numbers 3927/40, 4311/174 is
GCF of Numerators i.e. for 3927,4311 is 3
LCM of denominators i.e. for 40,174 is 3480.
Thus, GCF of Fractions is 3/3480.Finally, GCF of Fractions for 3927/40, 4311/174 is 3/3480.