Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5897/15,2997/173
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 5897,2997
Greatest Common Factor of Numerators i.e. GCF of 5897,2997 is 1 .
LCM of Denominators means LCM of 15,173 as per the given fractions.
LCM of 15,173 is 2595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5897,2997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5897
List of positive integer factors of 5897 that divides 5897 without a remainder.
1,5897
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 5897,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 5897,2997 is 1.
Lets's calculate LCM of 15,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 2595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2595
Therefore, the GCF of Fractions 5897/15,2997/173 is 1/2595
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 15,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,173) x common factors =1 x 1 = 1
LCM(15,173) = ( 15 × 173 ) / 1
LCM(15,173) = 2595 / 1
LCM(15,173) = 2595
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 5897/15, 2997/173?
Answer: GCF of Numerators as per given numbers 5897/15, 2997/173 is
GCF of Numerators i.e. for 5897,2997 is 1
LCM of denominators i.e. for 15,173 is 2595.
Thus, GCF of Fractions is 1/2595.Finally, GCF of Fractions for 5897/15, 2997/173 is 1/2595.