Use our free GCF of Fractions Calculator tool to compute the GCF of 547/722, 663/578 i.e 1/208658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/722, 663/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/722,663/578
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 547/722,663/578, numerators are 547,663
Denominators are 722,578
The GCF of 547,663 is 1 .
LCM of 722,578 is 208658.
The greatest common factor of 547/722,663/578 = [GCF of 547,663]/[LCM of 722,578]= 1/208658
Therefore, the GCF of 547/722,663/578 is 1/208658.
To find the highest common factor of 547,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 547,663 is 1.
Lets's calculate GCF of 547,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 547
:1,547
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 547,663 . The biggest common factor number is the GCF number.
So the greatest common factor 547,663 is 1.
Lets's calculate LCM of 722,578
2 | 722, 578 |
361, 289 |
∴ So the LCM of the given numbers is 2 x 361 x 289 = 208658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208658
Therefore, the GCF of Fractions 547/722,663/578 is 1/208658
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 722,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,578) x common factors =2 x 1 = 2
LCM(722,578) = ( 722 × 578 ) / 2
LCM(722,578) = 417316 / 2
LCM(722,578) = 208658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 547,663?
The HCF of 547,663 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 547/722, 663/578?
Answer: GCF of Numerators as per given numbers 547/722, 663/578 is
GCF of Numerators i.e. for 547,663 is 1
LCM of denominators i.e. for 722,578 is 208658.
Thus, GCF of Fractions is 1/208658.Finally, GCF of Fractions for 547/722, 663/578 is 1/208658.