Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/913,808/294
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 957,808
Greatest Common Factor of Numerators i.e. GCF of 957,808 is 1 .
LCM of Denominators means LCM of 913,294 as per the given fractions.
LCM of 913,294 is 268422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 957,808 . The biggest common factor number is the GCF number.
So the greatest common factor 957,808 is 1.
Lets's calculate LCM of 913,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 268422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268422
Therefore, the GCF of Fractions 957/913,808/294 is 1/268422
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 913,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,294) x common factors =1 x 1 = 1
LCM(913,294) = ( 913 × 294 ) / 1
LCM(913,294) = 268422 / 1
LCM(913,294) = 268422
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 957/913, 808/294?
Answer: GCF of Numerators as per given numbers 957/913, 808/294 is
GCF of Numerators i.e. for 957,808 is 1
LCM of denominators i.e. for 913,294 is 268422.
Thus, GCF of Fractions is 1/268422.Finally, GCF of Fractions for 957/913, 808/294 is 1/268422.