GCF of 43/927, 9159/5581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/927, 9159/5581 i.e 43/5173587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/927, 9159/5581.
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 43/927,9159/5581?
Given fractions are 43/927,9159/5581
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 43/927,9159/5581, numerators are 43,9159
Denominators are 927,5581
The GCF of 43,9159 is 43 .
LCM of 927,5581 is 5173587.
The greatest common factor of 43/927,9159/5581 = [GCF of 43,9159]/[LCM of 927,5581]= 43/5173587
Therefore, the GCF of 43/927,9159/5581 is 43/5173587.
To find the highest common factor of 43,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 43,9159 is 43.
Lets's calculate GCF of 43,9159
| 43 | 43, 9159 |
| 1, 213 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 43,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 43,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 43,9159 is 43.
Lets's calculate LCM of 927,5581
Given numbers has no common factors except 1. So, there LCM is their product i.e 5173587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/5173587
Therefore, the GCF of Fractions 43/927,9159/5581 is 43/5173587
Least Common Multiple of 927,5581 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 927,5581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,5581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,5581) x common factors =1 x 1 = 1
LCM(927,5581) = ( 927 × 5581 ) / 1
LCM(927,5581) = 5173587 / 1
LCM(927,5581) = 5173587
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FAQs on GCF of Fractions of 43/927, 9159/5581
1. What is the HCF of 43,9159?
The HCF of 43,9159 is 43
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 43/927, 9159/5581?
Answer: GCF of Numerators as per given numbers 43/927, 9159/5581 is
GCF of Numerators i.e. for 43,9159 is 43
LCM of denominators i.e. for 927,5581 is 5173587.
Thus, GCF of Fractions is 43/5173587.Finally, GCF of Fractions for 43/927, 9159/5581 is 43/5173587.