Use our free GCF of Fractions Calculator tool to compute the GCF of 716/300, 255/413 i.e 1/123900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/300, 255/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/300,255/413
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 716/300,255/413, numerators are 716,255
Denominators are 300,413
The GCF of 716,255 is 1 .
LCM of 300,413 is 123900.
The greatest common factor of 716/300,255/413 = [GCF of 716,255]/[LCM of 300,413]= 1/123900
Therefore, the GCF of 716/300,255/413 is 1/123900.
To find the highest common factor of 716,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 716 are 1, 2, 4, 179, 358, 716
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 716,255 is 1.
Lets's calculate GCF of 716,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 716
:1,2,4,179,358,716
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 716,255 . The biggest common factor number is the GCF number.
So the greatest common factor 716,255 is 1.
Lets's calculate LCM of 300,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 123900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123900
Therefore, the GCF of Fractions 716/300,255/413 is 1/123900
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 300,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(300,413) x common factors =1 x 1 = 1
LCM(300,413) = ( 300 × 413 ) / 1
LCM(300,413) = 123900 / 1
LCM(300,413) = 123900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,255?
The HCF of 716,255 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 716/300, 255/413?
Answer: GCF of Numerators as per given numbers 716/300, 255/413 is
GCF of Numerators i.e. for 716,255 is 1
LCM of denominators i.e. for 300,413 is 123900.
Thus, GCF of Fractions is 1/123900.Finally, GCF of Fractions for 716/300, 255/413 is 1/123900.