GCF of 4107/927, 5676/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4107/927, 5676/227 i.e 3/210429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4107/927, 5676/227.
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 4107/927,5676/227?
Given fractions are 4107/927,5676/227
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 4107/927,5676/227, numerators are 4107,5676
Denominators are 927,227
The GCF of 4107,5676 is 3 .
LCM of 927,227 is 210429.
The greatest common factor of 4107/927,5676/227 = [GCF of 4107,5676]/[LCM of 927,227]= 3/210429
Therefore, the GCF of 4107/927,5676/227 is 3/210429.
To find the highest common factor of 4107,5676, we have to find the factors of both numbers and list the highest common factor.
The factors of 4107 are 1, 3, 37, 111, 1369, 4107
The factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676
The HCF of 4107,5676 is 3.
Lets's calculate GCF of 4107,5676
| 3 | 4107, 5676 |
| 1369, 1892 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4107,5676 By Matching Biggest Common Factor Method
Now, list down the factors of 4107
:1,3,37,111,1369,4107
Now, list down the factors of 5676
:1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Greatest Common Factor
We found the factors 4107,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,5676 is 3.
Lets's calculate LCM of 927,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 210429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/210429
Therefore, the GCF of Fractions 4107/927,5676/227 is 3/210429
Least Common Multiple of 927,227 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 927,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,227) x common factors =1 x 1 = 1
LCM(927,227) = ( 927 × 227 ) / 1
LCM(927,227) = 210429 / 1
LCM(927,227) = 210429
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FAQs on GCF of Fractions of 4107/927, 5676/227
1. What is the HCF of 4107,5676?
The HCF of 4107,5676 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 4107/927, 5676/227?
Answer: GCF of Numerators as per given numbers 4107/927, 5676/227 is
GCF of Numerators i.e. for 4107,5676 is 3
LCM of denominators i.e. for 927,227 is 210429.
Thus, GCF of Fractions is 3/210429.Finally, GCF of Fractions for 4107/927, 5676/227 is 3/210429.