Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8368/719,4091/9988
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 8368,4091
Greatest Common Factor of Numerators i.e. GCF of 8368,4091 is 1 .
LCM of Denominators means LCM of 719,9988 as per the given fractions.
LCM of 719,9988 is 7181372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8368,4091
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8368
List of positive integer factors of 8368 that divides 8368 without a remainder.
1,2,4,8,16,523,1046,2092,4184,8368
Factors of 4091
List of positive integer factors of 4091 that divides 4091 without a remainder.
1,4091
Greatest Common Factor
We found the factors 8368,4091 . The biggest common factor number is the GCF number.
So the greatest common factor 8368,4091 is 1.
Lets's calculate LCM of 719,9988
Given numbers has no common factors except 1. So, there LCM is their product i.e 7181372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7181372
Therefore, the GCF of Fractions 8368/719,4091/9988 is 1/7181372
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 719,9988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,9988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,9988) x common factors =1 x 1 = 1
LCM(719,9988) = ( 719 × 9988 ) / 1
LCM(719,9988) = 7181372 / 1
LCM(719,9988) = 7181372
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 8368/719, 4091/9988?
Answer: GCF of Numerators as per given numbers 8368/719, 4091/9988 is
GCF of Numerators i.e. for 8368,4091 is 1
LCM of denominators i.e. for 719,9988 is 7181372.
Thus, GCF of Fractions is 1/7181372.Finally, GCF of Fractions for 8368/719, 4091/9988 is 1/7181372.