Use our free GCF of Fractions Calculator tool to compute the GCF of 773/191, 509/969 i.e 1/185079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/191, 509/969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 773/191,509/969
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 773/191,509/969, numerators are 773,509
Denominators are 191,969
The GCF of 773,509 is 1 .
LCM of 191,969 is 185079.
The greatest common factor of 773/191,509/969 = [GCF of 773,509]/[LCM of 191,969]= 1/185079
Therefore, the GCF of 773/191,509/969 is 1/185079.
To find the highest common factor of 773,509, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 509 are 1, 509
The HCF of 773,509 is 1.
Lets's calculate GCF of 773,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 773
:1,773
Now, list down the factors of 509
:1,509
Greatest Common Factor
We found the factors 773,509 . The biggest common factor number is the GCF number.
So the greatest common factor 773,509 is 1.
Lets's calculate LCM of 191,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 185079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185079
Therefore, the GCF of Fractions 773/191,509/969 is 1/185079
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 191,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,969) x common factors =1 x 1 = 1
LCM(191,969) = ( 191 × 969 ) / 1
LCM(191,969) = 185079 / 1
LCM(191,969) = 185079
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 773,509?
The HCF of 773,509 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 773/191, 509/969?
Answer: GCF of Numerators as per given numbers 773/191, 509/969 is
GCF of Numerators i.e. for 773,509 is 1
LCM of denominators i.e. for 191,969 is 185079.
Thus, GCF of Fractions is 1/185079.Finally, GCF of Fractions for 773/191, 509/969 is 1/185079.