Use our free GCF of Fractions Calculator tool to compute the GCF of 716/797, 773/625 i.e 1/498125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/797, 773/625.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/797,773/625
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 716/797,773/625, numerators are 716,773
Denominators are 797,625
The GCF of 716,773 is 1 .
LCM of 797,625 is 498125.
The greatest common factor of 716/797,773/625 = [GCF of 716,773]/[LCM of 797,625]= 1/498125
Therefore, the GCF of 716/797,773/625 is 1/498125.
To find the highest common factor of 716,773, 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 773 are 1, 773
The HCF of 716,773 is 1.
Lets's calculate GCF of 716,773
∴ 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 773
:1,773
Greatest Common Factor
We found the factors 716,773 . The biggest common factor number is the GCF number.
So the greatest common factor 716,773 is 1.
Lets's calculate LCM of 797,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 498125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498125
Therefore, the GCF of Fractions 716/797,773/625 is 1/498125
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 797,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,625) x common factors =1 x 1 = 1
LCM(797,625) = ( 797 × 625 ) / 1
LCM(797,625) = 498125 / 1
LCM(797,625) = 498125
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,773?
The HCF of 716,773 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 716/797, 773/625?
Answer: GCF of Numerators as per given numbers 716/797, 773/625 is
GCF of Numerators i.e. for 716,773 is 1
LCM of denominators i.e. for 797,625 is 498125.
Thus, GCF of Fractions is 1/498125.Finally, GCF of Fractions for 716/797, 773/625 is 1/498125.