Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4750/343,7187/2817
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 4750,7187
Greatest Common Factor of Numerators i.e. GCF of 4750,7187 is 1 .
LCM of Denominators means LCM of 343,2817 as per the given fractions.
LCM of 343,2817 is 966231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4750,7187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4750
List of positive integer factors of 4750 that divides 4750 without a remainder.
1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Factors of 7187
List of positive integer factors of 7187 that divides 7187 without a remainder.
1,7187
Greatest Common Factor
We found the factors 4750,7187 . The biggest common factor number is the GCF number.
So the greatest common factor 4750,7187 is 1.
Lets's calculate LCM of 343,2817
Given numbers has no common factors except 1. So, there LCM is their product i.e 966231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966231
Therefore, the GCF of Fractions 4750/343,7187/2817 is 1/966231
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 343,2817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,2817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,2817) x common factors =1 x 1 = 1
LCM(343,2817) = ( 343 × 2817 ) / 1
LCM(343,2817) = 966231 / 1
LCM(343,2817) = 966231
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 4750/343, 7187/2817?
Answer: GCF of Numerators as per given numbers 4750/343, 7187/2817 is
GCF of Numerators i.e. for 4750,7187 is 1
LCM of denominators i.e. for 343,2817 is 966231.
Thus, GCF of Fractions is 1/966231.Finally, GCF of Fractions for 4750/343, 7187/2817 is 1/966231.