Use our free GCF of Fractions Calculator tool to compute the GCF of 68/15, 597/85, 781/729 i.e 1/61965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/15, 597/85, 781/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/15,597/85,781/729
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 68/15,597/85,781/729, numerators are 68,597,781
Denominators are 15,85,729
The GCF of 68,597,781 is 1 .
LCM of 15,85,729 is 61965.
The greatest common factor of 68/15,597/85,781/729 = [GCF of 68,597,781]/[LCM of 15,85,729]= 1/61965
Therefore, the GCF of 68/15,597/85,781/729 is 1/61965.
To find the highest common factor of 68,597,781, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 597 are 1, 3, 199, 597
The factors of 781 are 1, 11, 71, 781
The HCF of 68,597,781 is 1.
Lets's calculate GCF of 68,597,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 781
:1,11,71,781
Greatest Common Factor
We found the factors 68,597,781 . The biggest common factor number is the GCF number.
So the greatest common factor 68,597,781 is 1.
Lets's calculate LCM of 15,85,729
3 | 15, 85, 729 |
5 | 5, 85, 243 |
1, 17, 243 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 17 x 243 = 61965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61965
Therefore, the GCF of Fractions 68/15,597/85,781/729 is 1/61965
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 15,85,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,85,729) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(15,85,729) x common factors =1 x 15 = 15
LCM(15,85,729) = ( 15 × 85 × 729 ) / 15
LCM(15,85,729) = 929475 / 15
LCM(15,85,729) = 61965
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 68,597,781?
The HCF of 68,597,781 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 68/15, 597/85, 781/729?
Answer: GCF of Numerators as per given numbers 68/15, 597/85, 781/729 is
GCF of Numerators i.e. for 68,597,781 is 1
LCM of denominators i.e. for 15,85,729 is 61965.
Thus, GCF of Fractions is 1/61965.Finally, GCF of Fractions for 68/15, 597/85, 781/729 is 1/61965.