Use our free GCF of Fractions Calculator tool to compute the GCF of 941/705, 809/779 i.e 1/549195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/705, 809/779.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/705,809/779
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 941/705,809/779, numerators are 941,809
Denominators are 705,779
The GCF of 941,809 is 1 .
LCM of 705,779 is 549195.
The greatest common factor of 941/705,809/779 = [GCF of 941,809]/[LCM of 705,779]= 1/549195
Therefore, the GCF of 941/705,809/779 is 1/549195.
To find the highest common factor of 941,809, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 809 are 1, 809
The HCF of 941,809 is 1.
Lets's calculate GCF of 941,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 941
:1,941
Now, list down the factors of 809
:1,809
Greatest Common Factor
We found the factors 941,809 . The biggest common factor number is the GCF number.
So the greatest common factor 941,809 is 1.
Lets's calculate LCM of 705,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 549195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549195
Therefore, the GCF of Fractions 941/705,809/779 is 1/549195
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 705,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,779) x common factors =1 x 1 = 1
LCM(705,779) = ( 705 × 779 ) / 1
LCM(705,779) = 549195 / 1
LCM(705,779) = 549195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 941,809?
The HCF of 941,809 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 941/705, 809/779?
Answer: GCF of Numerators as per given numbers 941/705, 809/779 is
GCF of Numerators i.e. for 941,809 is 1
LCM of denominators i.e. for 705,779 is 549195.
Thus, GCF of Fractions is 1/549195.Finally, GCF of Fractions for 941/705, 809/779 is 1/549195.