GCF of 8941/441, 1107/5709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8941/441, 1107/5709 i.e 1/839223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8941/441, 1107/5709.
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 8941/441,1107/5709?
Given fractions are 8941/441,1107/5709
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 8941/441,1107/5709, numerators are 8941,1107
Denominators are 441,5709
The GCF of 8941,1107 is 1 .
LCM of 441,5709 is 839223.
The greatest common factor of 8941/441,1107/5709 = [GCF of 8941,1107]/[LCM of 441,5709]= 1/839223
Therefore, the GCF of 8941/441,1107/5709 is 1/839223.
To find the highest common factor of 8941,1107, we have to find the factors of both numbers and list the highest common factor.
The factors of 8941 are 1, 8941
The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107
The HCF of 8941,1107 is 1.
Lets's calculate GCF of 8941,1107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8941,1107 By Matching Biggest Common Factor Method
Now, list down the factors of 8941
:1,8941
Now, list down the factors of 1107
:1,3,9,27,41,123,369,1107
Greatest Common Factor
We found the factors 8941,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 8941,1107 is 1.
Lets's calculate LCM of 441,5709
| 3 | 441, 5709 |
| 147, 1903 |
∴ So the LCM of the given numbers is 3 x 147 x 1903 = 839223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839223
Therefore, the GCF of Fractions 8941/441,1107/5709 is 1/839223
Least Common Multiple of 441,5709 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 441,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,5709) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,5709) x common factors =3 x 1 = 3
LCM(441,5709) = ( 441 × 5709 ) / 3
LCM(441,5709) = 2517669 / 3
LCM(441,5709) = 839223
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FAQs on GCF of Fractions of 8941/441, 1107/5709
1. What is the HCF of 8941,1107?
The HCF of 8941,1107 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 8941/441, 1107/5709?
Answer: GCF of Numerators as per given numbers 8941/441, 1107/5709 is
GCF of Numerators i.e. for 8941,1107 is 1
LCM of denominators i.e. for 441,5709 is 839223.
Thus, GCF of Fractions is 1/839223.Finally, GCF of Fractions for 8941/441, 1107/5709 is 1/839223.