GCF of 7346/941, 4963/4649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7346/941, 4963/4649 i.e 1/4374709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7346/941, 4963/4649.
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 7346/941,4963/4649?
Given fractions are 7346/941,4963/4649
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 7346/941,4963/4649, numerators are 7346,4963
Denominators are 941,4649
The GCF of 7346,4963 is 1 .
LCM of 941,4649 is 4374709.
The greatest common factor of 7346/941,4963/4649 = [GCF of 7346,4963]/[LCM of 941,4649]= 1/4374709
Therefore, the GCF of 7346/941,4963/4649 is 1/4374709.
To find the highest common factor of 7346,4963, we have to find the factors of both numbers and list the highest common factor.
The factors of 7346 are 1, 2, 3673, 7346
The factors of 4963 are 1, 7, 709, 4963
The HCF of 7346,4963 is 1.
Lets's calculate GCF of 7346,4963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7346,4963 By Matching Biggest Common Factor Method
Now, list down the factors of 7346
:1,2,3673,7346
Now, list down the factors of 4963
:1,7,709,4963
Greatest Common Factor
We found the factors 7346,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 7346,4963 is 1.
Lets's calculate LCM of 941,4649
Given numbers has no common factors except 1. So, there LCM is their product i.e 4374709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4374709
Therefore, the GCF of Fractions 7346/941,4963/4649 is 1/4374709
Least Common Multiple of 941,4649 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 941,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,4649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,4649) x common factors =1 x 1 = 1
LCM(941,4649) = ( 941 × 4649 ) / 1
LCM(941,4649) = 4374709 / 1
LCM(941,4649) = 4374709
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FAQs on GCF of Fractions of 7346/941, 4963/4649
1. What is the HCF of 7346,4963?
The HCF of 7346,4963 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 7346/941, 4963/4649?
Answer: GCF of Numerators as per given numbers 7346/941, 4963/4649 is
GCF of Numerators i.e. for 7346,4963 is 1
LCM of denominators i.e. for 941,4649 is 4374709.
Thus, GCF of Fractions is 1/4374709.Finally, GCF of Fractions for 7346/941, 4963/4649 is 1/4374709.