Use our free GCF of Fractions Calculator tool to compute the GCF of 793/547, 578/691 i.e 1/377977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/547, 578/691.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/547,578/691
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 793/547,578/691, numerators are 793,578
Denominators are 547,691
The GCF of 793,578 is 1 .
LCM of 547,691 is 377977.
The greatest common factor of 793/547,578/691 = [GCF of 793,578]/[LCM of 547,691]= 1/377977
Therefore, the GCF of 793/547,578/691 is 1/377977.
To find the highest common factor of 793,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 793,578 is 1.
Lets's calculate GCF of 793,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 793,578 . The biggest common factor number is the GCF number.
So the greatest common factor 793,578 is 1.
Lets's calculate LCM of 547,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 377977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377977
Therefore, the GCF of Fractions 793/547,578/691 is 1/377977
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 547,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,691) x common factors =1 x 1 = 1
LCM(547,691) = ( 547 × 691 ) / 1
LCM(547,691) = 377977 / 1
LCM(547,691) = 377977
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 793,578?
The HCF of 793,578 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 793/547, 578/691?
Answer: GCF of Numerators as per given numbers 793/547, 578/691 is
GCF of Numerators i.e. for 793,578 is 1
LCM of denominators i.e. for 547,691 is 377977.
Thus, GCF of Fractions is 1/377977.Finally, GCF of Fractions for 793/547, 578/691 is 1/377977.