Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1903/34,9914/879
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 1903,9914
Greatest Common Factor of Numerators i.e. GCF of 1903,9914 is 1 .
LCM of Denominators means LCM of 34,879 as per the given fractions.
LCM of 34,879 is 29886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1903,9914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1903
List of positive integer factors of 1903 that divides 1903 without a remainder.
1,11,173,1903
Factors of 9914
List of positive integer factors of 9914 that divides 9914 without a remainder.
1,2,4957,9914
Greatest Common Factor
We found the factors 1903,9914 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,9914 is 1.
Lets's calculate LCM of 34,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 29886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29886
Therefore, the GCF of Fractions 1903/34,9914/879 is 1/29886
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 34,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,879) x common factors =1 x 1 = 1
LCM(34,879) = ( 34 × 879 ) / 1
LCM(34,879) = 29886 / 1
LCM(34,879) = 29886
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 1903/34, 9914/879?
Answer: GCF of Numerators as per given numbers 1903/34, 9914/879 is
GCF of Numerators i.e. for 1903,9914 is 1
LCM of denominators i.e. for 34,879 is 29886.
Thus, GCF of Fractions is 1/29886.Finally, GCF of Fractions for 1903/34, 9914/879 is 1/29886.