Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5531/25,4617/934
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 5531,4617
Greatest Common Factor of Numerators i.e. GCF of 5531,4617 is 1 .
LCM of Denominators means LCM of 25,934 as per the given fractions.
LCM of 25,934 is 23350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5531,4617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5531
List of positive integer factors of 5531 that divides 5531 without a remainder.
1,5531
Factors of 4617
List of positive integer factors of 4617 that divides 4617 without a remainder.
1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 5531,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 5531,4617 is 1.
Lets's calculate LCM of 25,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 23350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23350
Therefore, the GCF of Fractions 5531/25,4617/934 is 1/23350
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 25,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,934) x common factors =1 x 1 = 1
LCM(25,934) = ( 25 × 934 ) / 1
LCM(25,934) = 23350 / 1
LCM(25,934) = 23350
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 5531/25, 4617/934?
Answer: GCF of Numerators as per given numbers 5531/25, 4617/934 is
GCF of Numerators i.e. for 5531,4617 is 1
LCM of denominators i.e. for 25,934 is 23350.
Thus, GCF of Fractions is 1/23350.Finally, GCF of Fractions for 5531/25, 4617/934 is 1/23350.