Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/242,917/314
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 726,917
Greatest Common Factor of Numerators i.e. GCF of 726,917 is 1 .
LCM of Denominators means LCM of 242,314 as per the given fractions.
LCM of 242,314 is 37994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 726,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 726,917 . The biggest common factor number is the GCF number.
So the greatest common factor 726,917 is 1.
Lets's calculate LCM of 242,314
2 | 242, 314 |
121, 157 |
∴ So the LCM of the given numbers is 2 x 121 x 157 = 37994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37994
Therefore, the GCF of Fractions 726/242,917/314 is 1/37994
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 242,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,314) x common factors =2 x 1 = 2
LCM(242,314) = ( 242 × 314 ) / 2
LCM(242,314) = 75988 / 2
LCM(242,314) = 37994
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 726/242, 917/314?
Answer: GCF of Numerators as per given numbers 726/242, 917/314 is
GCF of Numerators i.e. for 726,917 is 1
LCM of denominators i.e. for 242,314 is 37994.
Thus, GCF of Fractions is 1/37994.Finally, GCF of Fractions for 726/242, 917/314 is 1/37994.