Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/25,7393/859
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 348,7393
Greatest Common Factor of Numerators i.e. GCF of 348,7393 is 1 .
LCM of Denominators means LCM of 25,859 as per the given fractions.
LCM of 25,859 is 21475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,7393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 7393
List of positive integer factors of 7393 that divides 7393 without a remainder.
1,7393
Greatest Common Factor
We found the factors 348,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 348,7393 is 1.
Lets's calculate LCM of 25,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 21475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21475
Therefore, the GCF of Fractions 348/25,7393/859 is 1/21475
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 25,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,859) x common factors =1 x 1 = 1
LCM(25,859) = ( 25 × 859 ) / 1
LCM(25,859) = 21475 / 1
LCM(25,859) = 21475
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 348/25, 7393/859?
Answer: GCF of Numerators as per given numbers 348/25, 7393/859 is
GCF of Numerators i.e. for 348,7393 is 1
LCM of denominators i.e. for 25,859 is 21475.
Thus, GCF of Fractions is 1/21475.Finally, GCF of Fractions for 348/25, 7393/859 is 1/21475.