Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/55,5009/313
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 887,5009
Greatest Common Factor of Numerators i.e. GCF of 887,5009 is 1 .
LCM of Denominators means LCM of 55,313 as per the given fractions.
LCM of 55,313 is 17215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 887,5009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Factors of 5009
List of positive integer factors of 5009 that divides 5009 without a remainder.
1,5009
Greatest Common Factor
We found the factors 887,5009 . The biggest common factor number is the GCF number.
So the greatest common factor 887,5009 is 1.
Lets's calculate LCM of 55,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 17215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17215
Therefore, the GCF of Fractions 887/55,5009/313 is 1/17215
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 55,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,313) x common factors =1 x 1 = 1
LCM(55,313) = ( 55 × 313 ) / 1
LCM(55,313) = 17215 / 1
LCM(55,313) = 17215
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 887/55, 5009/313?
Answer: GCF of Numerators as per given numbers 887/55, 5009/313 is
GCF of Numerators i.e. for 887,5009 is 1
LCM of denominators i.e. for 55,313 is 17215.
Thus, GCF of Fractions is 1/17215.Finally, GCF of Fractions for 887/55, 5009/313 is 1/17215.