GCF of 4891/406, 9459/3191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4891/406, 9459/3191 i.e 1/1295546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4891/406, 9459/3191.
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 4891/406,9459/3191?
Given fractions are 4891/406,9459/3191
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 4891/406,9459/3191, numerators are 4891,9459
Denominators are 406,3191
The GCF of 4891,9459 is 1 .
LCM of 406,3191 is 1295546.
The greatest common factor of 4891/406,9459/3191 = [GCF of 4891,9459]/[LCM of 406,3191]= 1/1295546
Therefore, the GCF of 4891/406,9459/3191 is 1/1295546.
To find the highest common factor of 4891,9459, we have to find the factors of both numbers and list the highest common factor.
The factors of 4891 are 1, 67, 73, 4891
The factors of 9459 are 1, 3, 9, 1051, 3153, 9459
The HCF of 4891,9459 is 1.
Lets's calculate GCF of 4891,9459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4891,9459 By Matching Biggest Common Factor Method
Now, list down the factors of 4891
:1,67,73,4891
Now, list down the factors of 9459
:1,3,9,1051,3153,9459
Greatest Common Factor
We found the factors 4891,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 4891,9459 is 1.
Lets's calculate LCM of 406,3191
Given numbers has no common factors except 1. So, there LCM is their product i.e 1295546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295546
Therefore, the GCF of Fractions 4891/406,9459/3191 is 1/1295546
Least Common Multiple of 406,3191 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 406,3191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,3191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,3191) x common factors =1 x 1 = 1
LCM(406,3191) = ( 406 × 3191 ) / 1
LCM(406,3191) = 1295546 / 1
LCM(406,3191) = 1295546
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FAQs on GCF of Fractions of 4891/406, 9459/3191
1. What is the HCF of 4891,9459?
The HCF of 4891,9459 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 4891/406, 9459/3191?
Answer: GCF of Numerators as per given numbers 4891/406, 9459/3191 is
GCF of Numerators i.e. for 4891,9459 is 1
LCM of denominators i.e. for 406,3191 is 1295546.
Thus, GCF of Fractions is 1/1295546.Finally, GCF of Fractions for 4891/406, 9459/3191 is 1/1295546.