Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7385/50,4542/343
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 7385,4542
Greatest Common Factor of Numerators i.e. GCF of 7385,4542 is 1 .
LCM of Denominators means LCM of 50,343 as per the given fractions.
LCM of 50,343 is 17150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7385,4542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7385
List of positive integer factors of 7385 that divides 7385 without a remainder.
1,5,7,35,211,1055,1477,7385
Factors of 4542
List of positive integer factors of 4542 that divides 4542 without a remainder.
1,2,3,6,757,1514,2271,4542
Greatest Common Factor
We found the factors 7385,4542 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,4542 is 1.
Lets's calculate LCM of 50,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 17150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17150
Therefore, the GCF of Fractions 7385/50,4542/343 is 1/17150
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 50,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,343) x common factors =1 x 1 = 1
LCM(50,343) = ( 50 × 343 ) / 1
LCM(50,343) = 17150 / 1
LCM(50,343) = 17150
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 7385/50, 4542/343?
Answer: GCF of Numerators as per given numbers 7385/50, 4542/343 is
GCF of Numerators i.e. for 7385,4542 is 1
LCM of denominators i.e. for 50,343 is 17150.
Thus, GCF of Fractions is 1/17150.Finally, GCF of Fractions for 7385/50, 4542/343 is 1/17150.