Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6191/439,7239/8795
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 6191,7239
Greatest Common Factor of Numerators i.e. GCF of 6191,7239 is 1 .
LCM of Denominators means LCM of 439,8795 as per the given fractions.
LCM of 439,8795 is 3861005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6191,7239
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6191
List of positive integer factors of 6191 that divides 6191 without a remainder.
1,41,151,6191
Factors of 7239
List of positive integer factors of 7239 that divides 7239 without a remainder.
1,3,19,57,127,381,2413,7239
Greatest Common Factor
We found the factors 6191,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 6191,7239 is 1.
Lets's calculate LCM of 439,8795
Given numbers has no common factors except 1. So, there LCM is their product i.e 3861005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3861005
Therefore, the GCF of Fractions 6191/439,7239/8795 is 1/3861005
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 439,8795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,8795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,8795) x common factors =1 x 1 = 1
LCM(439,8795) = ( 439 × 8795 ) / 1
LCM(439,8795) = 3861005 / 1
LCM(439,8795) = 3861005
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 6191/439, 7239/8795?
Answer: GCF of Numerators as per given numbers 6191/439, 7239/8795 is
GCF of Numerators i.e. for 6191,7239 is 1
LCM of denominators i.e. for 439,8795 is 3861005.
Thus, GCF of Fractions is 1/3861005.Finally, GCF of Fractions for 6191/439, 7239/8795 is 1/3861005.