Use our free GCF of Fractions Calculator tool to compute the GCF of 543/638, 724/983 i.e 181/627154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/638, 724/983.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/638,724/983
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 543/638,724/983, numerators are 543,724
Denominators are 638,983
The GCF of 543,724 is 181 .
LCM of 638,983 is 627154.
The greatest common factor of 543/638,724/983 = [GCF of 543,724]/[LCM of 638,983]= 181/627154
Therefore, the GCF of 543/638,724/983 is 181/627154.
To find the highest common factor of 543,724, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 724 are 1, 2, 4, 181, 362, 724
The HCF of 543,724 is 181.
Lets's calculate GCF of 543,724
181 | 543, 724 |
3, 4 |
∴ So the GCF of the given numbers is 181 = 181
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 724
:1,2,4,181,362,724
Greatest Common Factor
We found the factors 543,724 . The biggest common factor number is the GCF number.
So the greatest common factor 543,724 is 181.
Lets's calculate LCM of 638,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 627154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/627154
Therefore, the GCF of Fractions 543/638,724/983 is 181/627154
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 638,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,983) x common factors =1 x 1 = 1
LCM(638,983) = ( 638 × 983 ) / 1
LCM(638,983) = 627154 / 1
LCM(638,983) = 627154
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,724?
The HCF of 543,724 is 181
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 543/638, 724/983?
Answer: GCF of Numerators as per given numbers 543/638, 724/983 is
GCF of Numerators i.e. for 543,724 is 181
LCM of denominators i.e. for 638,983 is 627154.
Thus, GCF of Fractions is 181/627154.Finally, GCF of Fractions for 543/638, 724/983 is 181/627154.