Use our free GCF of Fractions Calculator tool to compute the GCF of 117/343, 761/789 i.e 1/270627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/343, 761/789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/343,761/789
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 117/343,761/789, numerators are 117,761
Denominators are 343,789
The GCF of 117,761 is 1 .
LCM of 343,789 is 270627.
The greatest common factor of 117/343,761/789 = [GCF of 117,761]/[LCM of 343,789]= 1/270627
Therefore, the GCF of 117/343,761/789 is 1/270627.
To find the highest common factor of 117,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 117 are 1, 3, 9, 13, 39, 117
The factors of 761 are 1, 761
The HCF of 117,761 is 1.
Lets's calculate GCF of 117,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 117
:1,3,9,13,39,117
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 117,761 . The biggest common factor number is the GCF number.
So the greatest common factor 117,761 is 1.
Lets's calculate LCM of 343,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 270627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270627
Therefore, the GCF of Fractions 117/343,761/789 is 1/270627
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 343,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,789) x common factors =1 x 1 = 1
LCM(343,789) = ( 343 × 789 ) / 1
LCM(343,789) = 270627 / 1
LCM(343,789) = 270627
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 117,761?
The HCF of 117,761 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 117/343, 761/789?
Answer: GCF of Numerators as per given numbers 117/343, 761/789 is
GCF of Numerators i.e. for 117,761 is 1
LCM of denominators i.e. for 343,789 is 270627.
Thus, GCF of Fractions is 1/270627.Finally, GCF of Fractions for 117/343, 761/789 is 1/270627.