Use our free GCF of Fractions Calculator tool to compute the GCF of 716/778, 275/657 i.e 1/511146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/778, 275/657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/778,275/657
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 716/778,275/657, numerators are 716,275
Denominators are 778,657
The GCF of 716,275 is 1 .
LCM of 778,657 is 511146.
The greatest common factor of 716/778,275/657 = [GCF of 716,275]/[LCM of 778,657]= 1/511146
Therefore, the GCF of 716/778,275/657 is 1/511146.
To find the highest common factor of 716,275, 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 275 are 1, 5, 11, 25, 55, 275
The HCF of 716,275 is 1.
Lets's calculate GCF of 716,275
∴ 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 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 716,275 . The biggest common factor number is the GCF number.
So the greatest common factor 716,275 is 1.
Lets's calculate LCM of 778,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 511146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511146
Therefore, the GCF of Fractions 716/778,275/657 is 1/511146
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 778,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,657) x common factors =1 x 1 = 1
LCM(778,657) = ( 778 × 657 ) / 1
LCM(778,657) = 511146 / 1
LCM(778,657) = 511146
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,275?
The HCF of 716,275 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 716/778, 275/657?
Answer: GCF of Numerators as per given numbers 716/778, 275/657 is
GCF of Numerators i.e. for 716,275 is 1
LCM of denominators i.e. for 778,657 is 511146.
Thus, GCF of Fractions is 1/511146.Finally, GCF of Fractions for 716/778, 275/657 is 1/511146.