Use our free GCF of Fractions Calculator tool to compute the GCF of 5343/464, 6788/2839 i.e 1/1317296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5343/464, 6788/2839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5343/464,6788/2839
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 5343/464,6788/2839, numerators are 5343,6788
Denominators are 464,2839
The GCF of 5343,6788 is 1 .
LCM of 464,2839 is 1317296.
The greatest common factor of 5343/464,6788/2839 = [GCF of 5343,6788]/[LCM of 464,2839]= 1/1317296
Therefore, the GCF of 5343/464,6788/2839 is 1/1317296.
To find the highest common factor of 5343,6788, we have to find the factors of both numbers and list the highest common factor.
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The HCF of 5343,6788 is 1.
Lets's calculate GCF of 5343,6788
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 5343,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 5343,6788 is 1.
Lets's calculate LCM of 464,2839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1317296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1317296
Therefore, the GCF of Fractions 5343/464,6788/2839 is 1/1317296
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 464,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,2839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,2839) x common factors =1 x 1 = 1
LCM(464,2839) = ( 464 × 2839 ) / 1
LCM(464,2839) = 1317296 / 1
LCM(464,2839) = 1317296
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5343,6788?
The HCF of 5343,6788 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 5343/464, 6788/2839?
Answer: GCF of Numerators as per given numbers 5343/464, 6788/2839 is
GCF of Numerators i.e. for 5343,6788 is 1
LCM of denominators i.e. for 464,2839 is 1317296.
Thus, GCF of Fractions is 1/1317296.Finally, GCF of Fractions for 5343/464, 6788/2839 is 1/1317296.