Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/703,287/207
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 721,287
Greatest Common Factor of Numerators i.e. GCF of 721,287 is 7 .
LCM of Denominators means LCM of 703,207 as per the given fractions.
LCM of 703,207 is 145521 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 721,287
7 | 721, 287 |
103, 41 |
∴ 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 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 721,287 . The biggest common factor number is the GCF number.
So the greatest common factor 721,287 is 7.
Lets's calculate LCM of 703,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 145521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/145521
Therefore, the GCF of Fractions 721/703,287/207 is 7/145521
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 703,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,207) x common factors =1 x 1 = 1
LCM(703,207) = ( 703 × 207 ) / 1
LCM(703,207) = 145521 / 1
LCM(703,207) = 145521
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 721/703, 287/207?
Answer: GCF of Numerators as per given numbers 721/703, 287/207 is
GCF of Numerators i.e. for 721,287 is 7
LCM of denominators i.e. for 703,207 is 145521.
Thus, GCF of Fractions is 7/145521.Finally, GCF of Fractions for 721/703, 287/207 is 7/145521.