GCF of 9341/191, 6094/5229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9341/191, 6094/5229 i.e 1/998739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9341/191, 6094/5229.
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 9341/191,6094/5229?
Given fractions are 9341/191,6094/5229
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 9341/191,6094/5229, numerators are 9341,6094
Denominators are 191,5229
The GCF of 9341,6094 is 1 .
LCM of 191,5229 is 998739.
The greatest common factor of 9341/191,6094/5229 = [GCF of 9341,6094]/[LCM of 191,5229]= 1/998739
Therefore, the GCF of 9341/191,6094/5229 is 1/998739.
To find the highest common factor of 9341,6094, we have to find the factors of both numbers and list the highest common factor.
The factors of 9341 are 1, 9341
The factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094
The HCF of 9341,6094 is 1.
Lets's calculate GCF of 9341,6094
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9341,6094 By Matching Biggest Common Factor Method
Now, list down the factors of 9341
:1,9341
Now, list down the factors of 6094
:1,2,11,22,277,554,3047,6094
Greatest Common Factor
We found the factors 9341,6094 . The biggest common factor number is the GCF number.
So the greatest common factor 9341,6094 is 1.
Lets's calculate LCM of 191,5229
Given numbers has no common factors except 1. So, there LCM is their product i.e 998739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/998739
Therefore, the GCF of Fractions 9341/191,6094/5229 is 1/998739
Least Common Multiple of 191,5229 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 191,5229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,5229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,5229) x common factors =1 x 1 = 1
LCM(191,5229) = ( 191 × 5229 ) / 1
LCM(191,5229) = 998739 / 1
LCM(191,5229) = 998739
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FAQs on GCF of Fractions of 9341/191, 6094/5229
1. What is the HCF of 9341,6094?
The HCF of 9341,6094 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 9341/191, 6094/5229?
Answer: GCF of Numerators as per given numbers 9341/191, 6094/5229 is
GCF of Numerators i.e. for 9341,6094 is 1
LCM of denominators i.e. for 191,5229 is 998739.
Thus, GCF of Fractions is 1/998739.Finally, GCF of Fractions for 9341/191, 6094/5229 is 1/998739.