Use our free GCF of Fractions Calculator tool to compute the GCF of 779/268, 7373/8566 i.e 1/1147844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/268, 7373/8566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/268,7373/8566
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 779/268,7373/8566, numerators are 779,7373
Denominators are 268,8566
The GCF of 779,7373 is 1 .
LCM of 268,8566 is 1147844.
The greatest common factor of 779/268,7373/8566 = [GCF of 779,7373]/[LCM of 268,8566]= 1/1147844
Therefore, the GCF of 779/268,7373/8566 is 1/1147844.
To find the highest common factor of 779,7373, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 7373 are 1, 73, 101, 7373
The HCF of 779,7373 is 1.
Lets's calculate GCF of 779,7373
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 7373
:1,73,101,7373
Greatest Common Factor
We found the factors 779,7373 . The biggest common factor number is the GCF number.
So the greatest common factor 779,7373 is 1.
Lets's calculate LCM of 268,8566
2 | 268, 8566 |
134, 4283 |
∴ So the LCM of the given numbers is 2 x 134 x 4283 = 1147844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1147844
Therefore, the GCF of Fractions 779/268,7373/8566 is 1/1147844
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 268,8566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,8566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,8566) x common factors =2 x 1 = 2
LCM(268,8566) = ( 268 × 8566 ) / 2
LCM(268,8566) = 2295688 / 2
LCM(268,8566) = 1147844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 779,7373?
The HCF of 779,7373 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 779/268, 7373/8566?
Answer: GCF of Numerators as per given numbers 779/268, 7373/8566 is
GCF of Numerators i.e. for 779,7373 is 1
LCM of denominators i.e. for 268,8566 is 1147844.
Thus, GCF of Fractions is 1/1147844.Finally, GCF of Fractions for 779/268, 7373/8566 is 1/1147844.