Use our free GCF of Fractions Calculator tool to compute the GCF of 543/394, 688/892 i.e 1/175724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/394, 688/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/394,688/892
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 543/394,688/892, numerators are 543,688
Denominators are 394,892
The GCF of 543,688 is 1 .
LCM of 394,892 is 175724.
The greatest common factor of 543/394,688/892 = [GCF of 543,688]/[LCM of 394,892]= 1/175724
Therefore, the GCF of 543/394,688/892 is 1/175724.
To find the highest common factor of 543,688, 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 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 543,688 is 1.
Lets's calculate GCF of 543,688
∴ 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 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 543,688 . The biggest common factor number is the GCF number.
So the greatest common factor 543,688 is 1.
Lets's calculate LCM of 394,892
2 | 394, 892 |
197, 446 |
∴ So the LCM of the given numbers is 2 x 197 x 446 = 175724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175724
Therefore, the GCF of Fractions 543/394,688/892 is 1/175724
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 394,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,892) x common factors =2 x 1 = 2
LCM(394,892) = ( 394 × 892 ) / 2
LCM(394,892) = 351448 / 2
LCM(394,892) = 175724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,688?
The HCF of 543,688 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 543/394, 688/892?
Answer: GCF of Numerators as per given numbers 543/394, 688/892 is
GCF of Numerators i.e. for 543,688 is 1
LCM of denominators i.e. for 394,892 is 175724.
Thus, GCF of Fractions is 1/175724.Finally, GCF of Fractions for 543/394, 688/892 is 1/175724.