Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/733,5726/177
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 791,5726
Greatest Common Factor of Numerators i.e. GCF of 791,5726 is 7 .
LCM of Denominators means LCM of 733,177 as per the given fractions.
LCM of 733,177 is 129741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 791,5726
7 | 791, 5726 |
113, 818 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 5726
List of positive integer factors of 5726 that divides 5726 without a remainder.
1,2,7,14,409,818,2863,5726
Greatest Common Factor
We found the factors 791,5726 . The biggest common factor number is the GCF number.
So the greatest common factor 791,5726 is 7.
Lets's calculate LCM of 733,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 129741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/129741
Therefore, the GCF of Fractions 791/733,5726/177 is 7/129741
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 733,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,177) x common factors =1 x 1 = 1
LCM(733,177) = ( 733 × 177 ) / 1
LCM(733,177) = 129741 / 1
LCM(733,177) = 129741
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 791/733, 5726/177?
Answer: GCF of Numerators as per given numbers 791/733, 5726/177 is
GCF of Numerators i.e. for 791,5726 is 7
LCM of denominators i.e. for 733,177 is 129741.
Thus, GCF of Fractions is 7/129741.Finally, GCF of Fractions for 791/733, 5726/177 is 7/129741.