Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4349/817,9708/3974
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 4349,9708
Greatest Common Factor of Numerators i.e. GCF of 4349,9708 is 1 .
LCM of Denominators means LCM of 817,3974 as per the given fractions.
LCM of 817,3974 is 3246758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4349,9708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4349
List of positive integer factors of 4349 that divides 4349 without a remainder.
1,4349
Factors of 9708
List of positive integer factors of 9708 that divides 9708 without a remainder.
1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 4349,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 4349,9708 is 1.
Lets's calculate LCM of 817,3974
Given numbers has no common factors except 1. So, there LCM is their product i.e 3246758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3246758
Therefore, the GCF of Fractions 4349/817,9708/3974 is 1/3246758
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 817,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,3974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,3974) x common factors =1 x 1 = 1
LCM(817,3974) = ( 817 × 3974 ) / 1
LCM(817,3974) = 3246758 / 1
LCM(817,3974) = 3246758
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 4349/817, 9708/3974?
Answer: GCF of Numerators as per given numbers 4349/817, 9708/3974 is
GCF of Numerators i.e. for 4349,9708 is 1
LCM of denominators i.e. for 817,3974 is 3246758.
Thus, GCF of Fractions is 1/3246758.Finally, GCF of Fractions for 4349/817, 9708/3974 is 1/3246758.