Use our free GCF of Fractions Calculator tool to compute the GCF of 80/38, 708/76, 615/566 i.e 1/21508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/38, 708/76, 615/566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/38,708/76,615/566
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 80/38,708/76,615/566, numerators are 80,708,615
Denominators are 38,76,566
The GCF of 80,708,615 is 1 .
LCM of 38,76,566 is 21508.
The greatest common factor of 80/38,708/76,615/566 = [GCF of 80,708,615]/[LCM of 38,76,566]= 1/21508
Therefore, the GCF of 80/38,708/76,615/566 is 1/21508.
To find the highest common factor of 80,708,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 80,708,615 is 1.
Lets's calculate GCF of 80,708,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 80,708,615 . The biggest common factor number is the GCF number.
So the greatest common factor 80,708,615 is 1.
Lets's calculate LCM of 38,76,566
2 | 38, 76, 566 |
19 | 19, 38, 283 |
1, 2, 283 |
∴ So the LCM of the given numbers is 2 x 19 x 1 x 2 x 283 = 21508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21508
Therefore, the GCF of Fractions 80/38,708/76,615/566 is 1/21508
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 38,76,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,76,566) = 2
common factors(in case of two or more numbers have common factors) = 38
GCF(38,76,566) x common factors =2 x 38 = 76
LCM(38,76,566) = ( 38 × 76 × 566 ) / 76
LCM(38,76,566) = 1634608 / 76
LCM(38,76,566) = 21508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 80,708,615?
The HCF of 80,708,615 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 80/38, 708/76, 615/566?
Answer: GCF of Numerators as per given numbers 80/38, 708/76, 615/566 is
GCF of Numerators i.e. for 80,708,615 is 1
LCM of denominators i.e. for 38,76,566 is 21508.
Thus, GCF of Fractions is 1/21508.Finally, GCF of Fractions for 80/38, 708/76, 615/566 is 1/21508.