Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3119/90,5981/853
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 3119,5981
Greatest Common Factor of Numerators i.e. GCF of 3119,5981 is 1 .
LCM of Denominators means LCM of 90,853 as per the given fractions.
LCM of 90,853 is 76770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3119,5981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3119
List of positive integer factors of 3119 that divides 3119 without a remainder.
1,3119
Factors of 5981
List of positive integer factors of 5981 that divides 5981 without a remainder.
1,5981
Greatest Common Factor
We found the factors 3119,5981 . The biggest common factor number is the GCF number.
So the greatest common factor 3119,5981 is 1.
Lets's calculate LCM of 90,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 76770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76770
Therefore, the GCF of Fractions 3119/90,5981/853 is 1/76770
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 90,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,853) x common factors =1 x 1 = 1
LCM(90,853) = ( 90 × 853 ) / 1
LCM(90,853) = 76770 / 1
LCM(90,853) = 76770
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 3119/90, 5981/853?
Answer: GCF of Numerators as per given numbers 3119/90, 5981/853 is
GCF of Numerators i.e. for 3119,5981 is 1
LCM of denominators i.e. for 90,853 is 76770.
Thus, GCF of Fractions is 1/76770.Finally, GCF of Fractions for 3119/90, 5981/853 is 1/76770.