Use our free GCF of Fractions Calculator tool to compute the GCF of 718/219, 546/681 i.e 2/49713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/219, 546/681.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/219,546/681
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 718/219,546/681, numerators are 718,546
Denominators are 219,681
The GCF of 718,546 is 2 .
LCM of 219,681 is 49713.
The greatest common factor of 718/219,546/681 = [GCF of 718,546]/[LCM of 219,681]= 2/49713
Therefore, the GCF of 718/219,546/681 is 2/49713.
To find the highest common factor of 718,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 718 are 1, 2, 359, 718
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 718,546 is 2.
Lets's calculate GCF of 718,546
2 | 718, 546 |
359, 273 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 718
:1,2,359,718
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 718,546 . The biggest common factor number is the GCF number.
So the greatest common factor 718,546 is 2.
Lets's calculate LCM of 219,681
3 | 219, 681 |
73, 227 |
∴ So the LCM of the given numbers is 3 x 73 x 227 = 49713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49713
Therefore, the GCF of Fractions 718/219,546/681 is 2/49713
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 219,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,681) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,681) x common factors =3 x 1 = 3
LCM(219,681) = ( 219 × 681 ) / 3
LCM(219,681) = 149139 / 3
LCM(219,681) = 49713
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 718,546?
The HCF of 718,546 is 2
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 718/219, 546/681?
Answer: GCF of Numerators as per given numbers 718/219, 546/681 is
GCF of Numerators i.e. for 718,546 is 2
LCM of denominators i.e. for 219,681 is 49713.
Thus, GCF of Fractions is 2/49713.Finally, GCF of Fractions for 718/219, 546/681 is 2/49713.