GCF of 8931/543, 2210/6344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8931/543, 2210/6344 i.e 13/3444792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8931/543, 2210/6344.
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 8931/543,2210/6344?
Given fractions are 8931/543,2210/6344
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 8931/543,2210/6344, numerators are 8931,2210
Denominators are 543,6344
The GCF of 8931,2210 is 13 .
LCM of 543,6344 is 3444792.
The greatest common factor of 8931/543,2210/6344 = [GCF of 8931,2210]/[LCM of 543,6344]= 13/3444792
Therefore, the GCF of 8931/543,2210/6344 is 13/3444792.
To find the highest common factor of 8931,2210, we have to find the factors of both numbers and list the highest common factor.
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210
The HCF of 8931,2210 is 13.
Lets's calculate GCF of 8931,2210
| 13 | 8931, 2210 |
| 687, 170 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8931,2210 By Matching Biggest Common Factor Method
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Now, list down the factors of 2210
:1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Greatest Common Factor
We found the factors 8931,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,2210 is 13.
Lets's calculate LCM of 543,6344
Given numbers has no common factors except 1. So, there LCM is their product i.e 3444792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3444792
Therefore, the GCF of Fractions 8931/543,2210/6344 is 13/3444792
Least Common Multiple of 543,6344 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 543,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,6344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,6344) x common factors =1 x 1 = 1
LCM(543,6344) = ( 543 × 6344 ) / 1
LCM(543,6344) = 3444792 / 1
LCM(543,6344) = 3444792
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8931/543, 2210/6344
1. What is the HCF of 8931,2210?
The HCF of 8931,2210 is 13
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 8931/543, 2210/6344?
Answer: GCF of Numerators as per given numbers 8931/543, 2210/6344 is
GCF of Numerators i.e. for 8931,2210 is 13
LCM of denominators i.e. for 543,6344 is 3444792.
Thus, GCF of Fractions is 13/3444792.Finally, GCF of Fractions for 8931/543, 2210/6344 is 13/3444792.