Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1191/869,4580/7921
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 1191,4580
Greatest Common Factor of Numerators i.e. GCF of 1191,4580 is 1 .
LCM of Denominators means LCM of 869,7921 as per the given fractions.
LCM of 869,7921 is 6883349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1191,4580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1191
List of positive integer factors of 1191 that divides 1191 without a remainder.
1,3,397,1191
Factors of 4580
List of positive integer factors of 4580 that divides 4580 without a remainder.
1,2,4,5,10,20,229,458,916,1145,2290,4580
Greatest Common Factor
We found the factors 1191,4580 . The biggest common factor number is the GCF number.
So the greatest common factor 1191,4580 is 1.
Lets's calculate LCM of 869,7921
Given numbers has no common factors except 1. So, there LCM is their product i.e 6883349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6883349
Therefore, the GCF of Fractions 1191/869,4580/7921 is 1/6883349
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 869,7921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,7921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,7921) x common factors =1 x 1 = 1
LCM(869,7921) = ( 869 × 7921 ) / 1
LCM(869,7921) = 6883349 / 1
LCM(869,7921) = 6883349
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 1191/869, 4580/7921?
Answer: GCF of Numerators as per given numbers 1191/869, 4580/7921 is
GCF of Numerators i.e. for 1191,4580 is 1
LCM of denominators i.e. for 869,7921 is 6883349.
Thus, GCF of Fractions is 1/6883349.Finally, GCF of Fractions for 1191/869, 4580/7921 is 1/6883349.