GCF of 8846/339, 1949/7691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8846/339, 1949/7691 i.e 1/2607249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8846/339, 1949/7691.
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 8846/339,1949/7691?
Given fractions are 8846/339,1949/7691
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 8846/339,1949/7691, numerators are 8846,1949
Denominators are 339,7691
The GCF of 8846,1949 is 1 .
LCM of 339,7691 is 2607249.
The greatest common factor of 8846/339,1949/7691 = [GCF of 8846,1949]/[LCM of 339,7691]= 1/2607249
Therefore, the GCF of 8846/339,1949/7691 is 1/2607249.
To find the highest common factor of 8846,1949, we have to find the factors of both numbers and list the highest common factor.
The factors of 8846 are 1, 2, 4423, 8846
The factors of 1949 are 1, 1949
The HCF of 8846,1949 is 1.
Lets's calculate GCF of 8846,1949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8846,1949 By Matching Biggest Common Factor Method
Now, list down the factors of 8846
:1,2,4423,8846
Now, list down the factors of 1949
:1,1949
Greatest Common Factor
We found the factors 8846,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 8846,1949 is 1.
Lets's calculate LCM of 339,7691
Given numbers has no common factors except 1. So, there LCM is their product i.e 2607249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2607249
Therefore, the GCF of Fractions 8846/339,1949/7691 is 1/2607249
Least Common Multiple of 339,7691 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 339,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,7691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,7691) x common factors =1 x 1 = 1
LCM(339,7691) = ( 339 × 7691 ) / 1
LCM(339,7691) = 2607249 / 1
LCM(339,7691) = 2607249
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FAQs on GCF of Fractions of 8846/339, 1949/7691
1. What is the HCF of 8846,1949?
The HCF of 8846,1949 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 8846/339, 1949/7691?
Answer: GCF of Numerators as per given numbers 8846/339, 1949/7691 is
GCF of Numerators i.e. for 8846,1949 is 1
LCM of denominators i.e. for 339,7691 is 2607249.
Thus, GCF of Fractions is 1/2607249.Finally, GCF of Fractions for 8846/339, 1949/7691 is 1/2607249.