Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8597/778,7989/4833
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 8597,7989
Greatest Common Factor of Numerators i.e. GCF of 8597,7989 is 1 .
LCM of Denominators means LCM of 778,4833 as per the given fractions.
LCM of 778,4833 is 3760074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8597,7989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8597
List of positive integer factors of 8597 that divides 8597 without a remainder.
1,8597
Factors of 7989
List of positive integer factors of 7989 that divides 7989 without a remainder.
1,3,2663,7989
Greatest Common Factor
We found the factors 8597,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 8597,7989 is 1.
Lets's calculate LCM of 778,4833
Given numbers has no common factors except 1. So, there LCM is their product i.e 3760074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3760074
Therefore, the GCF of Fractions 8597/778,7989/4833 is 1/3760074
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 778,4833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4833) x common factors =1 x 1 = 1
LCM(778,4833) = ( 778 × 4833 ) / 1
LCM(778,4833) = 3760074 / 1
LCM(778,4833) = 3760074
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 8597/778, 7989/4833?
Answer: GCF of Numerators as per given numbers 8597/778, 7989/4833 is
GCF of Numerators i.e. for 8597,7989 is 1
LCM of denominators i.e. for 778,4833 is 3760074.
Thus, GCF of Fractions is 1/3760074.Finally, GCF of Fractions for 8597/778, 7989/4833 is 1/3760074.