GCF of 6310/543, 3911/8437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6310/543, 3911/8437 i.e 1/4581291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6310/543, 3911/8437.
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 6310/543,3911/8437?
Given fractions are 6310/543,3911/8437
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 6310/543,3911/8437, numerators are 6310,3911
Denominators are 543,8437
The GCF of 6310,3911 is 1 .
LCM of 543,8437 is 4581291.
The greatest common factor of 6310/543,3911/8437 = [GCF of 6310,3911]/[LCM of 543,8437]= 1/4581291
Therefore, the GCF of 6310/543,3911/8437 is 1/4581291.
To find the highest common factor of 6310,3911, we have to find the factors of both numbers and list the highest common factor.
The factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310
The factors of 3911 are 1, 3911
The HCF of 6310,3911 is 1.
Lets's calculate GCF of 6310,3911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6310,3911 By Matching Biggest Common Factor Method
Now, list down the factors of 6310
:1,2,5,10,631,1262,3155,6310
Now, list down the factors of 3911
:1,3911
Greatest Common Factor
We found the factors 6310,3911 . The biggest common factor number is the GCF number.
So the greatest common factor 6310,3911 is 1.
Lets's calculate LCM of 543,8437
Given numbers has no common factors except 1. So, there LCM is their product i.e 4581291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4581291
Therefore, the GCF of Fractions 6310/543,3911/8437 is 1/4581291
Least Common Multiple of 543,8437 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 543,8437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,8437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,8437) x common factors =1 x 1 = 1
LCM(543,8437) = ( 543 × 8437 ) / 1
LCM(543,8437) = 4581291 / 1
LCM(543,8437) = 4581291
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FAQs on GCF of Fractions of 6310/543, 3911/8437
1. What is the HCF of 6310,3911?
The HCF of 6310,3911 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 6310/543, 3911/8437?
Answer: GCF of Numerators as per given numbers 6310/543, 3911/8437 is
GCF of Numerators i.e. for 6310,3911 is 1
LCM of denominators i.e. for 543,8437 is 4581291.
Thus, GCF of Fractions is 1/4581291.Finally, GCF of Fractions for 6310/543, 3911/8437 is 1/4581291.