Use our free GCF of Fractions Calculator tool to compute the GCF of 791/605, 280/656 i.e 7/396880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/605, 280/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/605,280/656
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 791/605,280/656, numerators are 791,280
Denominators are 605,656
The GCF of 791,280 is 7 .
LCM of 605,656 is 396880.
The greatest common factor of 791/605,280/656 = [GCF of 791,280]/[LCM of 605,656]= 7/396880
Therefore, the GCF of 791/605,280/656 is 7/396880.
To find the highest common factor of 791,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 791,280 is 7.
Lets's calculate GCF of 791,280
7 | 791, 280 |
113, 40 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 791,280 . The biggest common factor number is the GCF number.
So the greatest common factor 791,280 is 7.
Lets's calculate LCM of 605,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 396880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/396880
Therefore, the GCF of Fractions 791/605,280/656 is 7/396880
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 605,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,656) x common factors =1 x 1 = 1
LCM(605,656) = ( 605 × 656 ) / 1
LCM(605,656) = 396880 / 1
LCM(605,656) = 396880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,280?
The HCF of 791,280 is 7
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 791/605, 280/656?
Answer: GCF of Numerators as per given numbers 791/605, 280/656 is
GCF of Numerators i.e. for 791,280 is 7
LCM of denominators i.e. for 605,656 is 396880.
Thus, GCF of Fractions is 7/396880.Finally, GCF of Fractions for 791/605, 280/656 is 7/396880.