Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 314/895,9197/329
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 314,9197
Greatest Common Factor of Numerators i.e. GCF of 314,9197 is 1 .
LCM of Denominators means LCM of 895,329 as per the given fractions.
LCM of 895,329 is 294455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 314,9197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 9197
List of positive integer factors of 9197 that divides 9197 without a remainder.
1,17,541,9197
Greatest Common Factor
We found the factors 314,9197 . The biggest common factor number is the GCF number.
So the greatest common factor 314,9197 is 1.
Lets's calculate LCM of 895,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 294455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294455
Therefore, the GCF of Fractions 314/895,9197/329 is 1/294455
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 895,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,329) x common factors =1 x 1 = 1
LCM(895,329) = ( 895 × 329 ) / 1
LCM(895,329) = 294455 / 1
LCM(895,329) = 294455
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 314/895, 9197/329?
Answer: GCF of Numerators as per given numbers 314/895, 9197/329 is
GCF of Numerators i.e. for 314,9197 is 1
LCM of denominators i.e. for 895,329 is 294455.
Thus, GCF of Fractions is 1/294455.Finally, GCF of Fractions for 314/895, 9197/329 is 1/294455.