GCF of 5763/347, 6881/4438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5763/347, 6881/4438 i.e 1/1539986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5763/347, 6881/4438.
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 5763/347,6881/4438?
Given fractions are 5763/347,6881/4438
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 5763/347,6881/4438, numerators are 5763,6881
Denominators are 347,4438
The GCF of 5763,6881 is 1 .
LCM of 347,4438 is 1539986.
The greatest common factor of 5763/347,6881/4438 = [GCF of 5763,6881]/[LCM of 347,4438]= 1/1539986
Therefore, the GCF of 5763/347,6881/4438 is 1/1539986.
To find the highest common factor of 5763,6881, we have to find the factors of both numbers and list the highest common factor.
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The factors of 6881 are 1, 7, 983, 6881
The HCF of 5763,6881 is 1.
Lets's calculate GCF of 5763,6881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5763,6881 By Matching Biggest Common Factor Method
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Now, list down the factors of 6881
:1,7,983,6881
Greatest Common Factor
We found the factors 5763,6881 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,6881 is 1.
Lets's calculate LCM of 347,4438
Given numbers has no common factors except 1. So, there LCM is their product i.e 1539986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1539986
Therefore, the GCF of Fractions 5763/347,6881/4438 is 1/1539986
Least Common Multiple of 347,4438 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 347,4438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,4438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,4438) x common factors =1 x 1 = 1
LCM(347,4438) = ( 347 × 4438 ) / 1
LCM(347,4438) = 1539986 / 1
LCM(347,4438) = 1539986
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5763/347, 6881/4438
1. What is the HCF of 5763,6881?
The HCF of 5763,6881 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 5763/347, 6881/4438?
Answer: GCF of Numerators as per given numbers 5763/347, 6881/4438 is
GCF of Numerators i.e. for 5763,6881 is 1
LCM of denominators i.e. for 347,4438 is 1539986.
Thus, GCF of Fractions is 1/1539986.Finally, GCF of Fractions for 5763/347, 6881/4438 is 1/1539986.