Use our free GCF of Fractions Calculator tool to compute the GCF of 543/291, 928/696 i.e 1/67512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/291, 928/696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/291,928/696
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 543/291,928/696, numerators are 543,928
Denominators are 291,696
The GCF of 543,928 is 1 .
LCM of 291,696 is 67512.
The greatest common factor of 543/291,928/696 = [GCF of 543,928]/[LCM of 291,696]= 1/67512
Therefore, the GCF of 543/291,928/696 is 1/67512.
To find the highest common factor of 543,928, 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 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 543,928 is 1.
Lets's calculate GCF of 543,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 543,928 . The biggest common factor number is the GCF number.
So the greatest common factor 543,928 is 1.
Lets's calculate LCM of 291,696
3 | 291, 696 |
97, 232 |
∴ So the LCM of the given numbers is 3 x 97 x 232 = 67512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67512
Therefore, the GCF of Fractions 543/291,928/696 is 1/67512
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 291,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,696) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,696) x common factors =3 x 1 = 3
LCM(291,696) = ( 291 × 696 ) / 3
LCM(291,696) = 202536 / 3
LCM(291,696) = 67512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,928?
The HCF of 543,928 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 543/291, 928/696?
Answer: GCF of Numerators as per given numbers 543/291, 928/696 is
GCF of Numerators i.e. for 543,928 is 1
LCM of denominators i.e. for 291,696 is 67512.
Thus, GCF of Fractions is 1/67512.Finally, GCF of Fractions for 543/291, 928/696 is 1/67512.