Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5157/10,2615/863
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 5157,2615
Greatest Common Factor of Numerators i.e. GCF of 5157,2615 is 1 .
LCM of Denominators means LCM of 10,863 as per the given fractions.
LCM of 10,863 is 8630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5157,2615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5157
List of positive integer factors of 5157 that divides 5157 without a remainder.
1,3,9,27,191,573,1719,5157
Factors of 2615
List of positive integer factors of 2615 that divides 2615 without a remainder.
1,5,523,2615
Greatest Common Factor
We found the factors 5157,2615 . The biggest common factor number is the GCF number.
So the greatest common factor 5157,2615 is 1.
Lets's calculate LCM of 10,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 8630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8630
Therefore, the GCF of Fractions 5157/10,2615/863 is 1/8630
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 10,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,863) x common factors =1 x 1 = 1
LCM(10,863) = ( 10 × 863 ) / 1
LCM(10,863) = 8630 / 1
LCM(10,863) = 8630
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 5157/10, 2615/863?
Answer: GCF of Numerators as per given numbers 5157/10, 2615/863 is
GCF of Numerators i.e. for 5157,2615 is 1
LCM of denominators i.e. for 10,863 is 8630.
Thus, GCF of Fractions is 1/8630.Finally, GCF of Fractions for 5157/10, 2615/863 is 1/8630.