Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4379/723,9825/8023
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 4379,9825
Greatest Common Factor of Numerators i.e. GCF of 4379,9825 is 1 .
LCM of Denominators means LCM of 723,8023 as per the given fractions.
LCM of 723,8023 is 5800629 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4379,9825
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4379
List of positive integer factors of 4379 that divides 4379 without a remainder.
1,29,151,4379
Factors of 9825
List of positive integer factors of 9825 that divides 9825 without a remainder.
1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors 4379,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 4379,9825 is 1.
Lets's calculate LCM of 723,8023
Given numbers has no common factors except 1. So, there LCM is their product i.e 5800629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5800629
Therefore, the GCF of Fractions 4379/723,9825/8023 is 1/5800629
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 723,8023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,8023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,8023) x common factors =1 x 1 = 1
LCM(723,8023) = ( 723 × 8023 ) / 1
LCM(723,8023) = 5800629 / 1
LCM(723,8023) = 5800629
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 4379/723, 9825/8023?
Answer: GCF of Numerators as per given numbers 4379/723, 9825/8023 is
GCF of Numerators i.e. for 4379,9825 is 1
LCM of denominators i.e. for 723,8023 is 5800629.
Thus, GCF of Fractions is 1/5800629.Finally, GCF of Fractions for 4379/723, 9825/8023 is 1/5800629.