Use our free GCF of Fractions Calculator tool to compute the GCF of 760/614, 615/310 i.e 5/95170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/614, 615/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 760/614,615/310
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 760/614,615/310, numerators are 760,615
Denominators are 614,310
The GCF of 760,615 is 5 .
LCM of 614,310 is 95170.
The greatest common factor of 760/614,615/310 = [GCF of 760,615]/[LCM of 614,310]= 5/95170
Therefore, the GCF of 760/614,615/310 is 5/95170.
To find the highest common factor of 760,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 760,615 is 5.
Lets's calculate GCF of 760,615
5 | 760, 615 |
152, 123 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 760,615 . The biggest common factor number is the GCF number.
So the greatest common factor 760,615 is 5.
Lets's calculate LCM of 614,310
2 | 614, 310 |
307, 155 |
∴ So the LCM of the given numbers is 2 x 307 x 155 = 95170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/95170
Therefore, the GCF of Fractions 760/614,615/310 is 5/95170
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 614,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,310) x common factors =2 x 1 = 2
LCM(614,310) = ( 614 × 310 ) / 2
LCM(614,310) = 190340 / 2
LCM(614,310) = 95170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 760,615?
The HCF of 760,615 is 5
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 760/614, 615/310?
Answer: GCF of Numerators as per given numbers 760/614, 615/310 is
GCF of Numerators i.e. for 760,615 is 5
LCM of denominators i.e. for 614,310 is 95170.
Thus, GCF of Fractions is 5/95170.Finally, GCF of Fractions for 760/614, 615/310 is 5/95170.