Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/170,1855/8113
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 721,1855
Greatest Common Factor of Numerators i.e. GCF of 721,1855 is 7 .
LCM of Denominators means LCM of 170,8113 as per the given fractions.
LCM of 170,8113 is 1379210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,1855
7 | 721, 1855 |
103, 265 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 1855
List of positive integer factors of 1855 that divides 1855 without a remainder.
1,5,7,35,53,265,371,1855
Greatest Common Factor
We found the factors 721,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 721,1855 is 7.
Lets's calculate LCM of 170,8113
Given numbers has no common factors except 1. So, there LCM is their product i.e 1379210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1379210
Therefore, the GCF of Fractions 721/170,1855/8113 is 7/1379210
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 170,8113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,8113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,8113) x common factors =1 x 1 = 1
LCM(170,8113) = ( 170 × 8113 ) / 1
LCM(170,8113) = 1379210 / 1
LCM(170,8113) = 1379210
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 721/170, 1855/8113?
Answer: GCF of Numerators as per given numbers 721/170, 1855/8113 is
GCF of Numerators i.e. for 721,1855 is 7
LCM of denominators i.e. for 170,8113 is 1379210.
Thus, GCF of Fractions is 7/1379210.Finally, GCF of Fractions for 721/170, 1855/8113 is 7/1379210.