Use our free GCF of Fractions Calculator tool to compute the GCF of 793/775, 141/916 i.e 1/709900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/775, 141/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/775,141/916
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 793/775,141/916, numerators are 793,141
Denominators are 775,916
The GCF of 793,141 is 1 .
LCM of 775,916 is 709900.
The greatest common factor of 793/775,141/916 = [GCF of 793,141]/[LCM of 775,916]= 1/709900
Therefore, the GCF of 793/775,141/916 is 1/709900.
To find the highest common factor of 793,141, 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 141 are 1, 3, 47, 141
The HCF of 793,141 is 1.
Lets's calculate GCF of 793,141
∴ 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 141
:1,3,47,141
Greatest Common Factor
We found the factors 793,141 . The biggest common factor number is the GCF number.
So the greatest common factor 793,141 is 1.
Lets's calculate LCM of 775,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 709900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709900
Therefore, the GCF of Fractions 793/775,141/916 is 1/709900
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 775,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,916) x common factors =1 x 1 = 1
LCM(775,916) = ( 775 × 916 ) / 1
LCM(775,916) = 709900 / 1
LCM(775,916) = 709900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 793,141?
The HCF of 793,141 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 793/775, 141/916?
Answer: GCF of Numerators as per given numbers 793/775, 141/916 is
GCF of Numerators i.e. for 793,141 is 1
LCM of denominators i.e. for 775,916 is 709900.
Thus, GCF of Fractions is 1/709900.Finally, GCF of Fractions for 793/775, 141/916 is 1/709900.