Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4389/121,6970/8839
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 4389,6970
Greatest Common Factor of Numerators i.e. GCF of 4389,6970 is 1 .
LCM of Denominators means LCM of 121,8839 as per the given fractions.
LCM of 121,8839 is 1069519 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4389,6970
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4389
List of positive integer factors of 4389 that divides 4389 without a remainder.
1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389
Factors of 6970
List of positive integer factors of 6970 that divides 6970 without a remainder.
1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Greatest Common Factor
We found the factors 4389,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 4389,6970 is 1.
Lets's calculate LCM of 121,8839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1069519
Therefore, the GCF of Fractions 4389/121,6970/8839 is 1/1069519
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 121,8839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,8839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,8839) x common factors =1 x 1 = 1
LCM(121,8839) = ( 121 × 8839 ) / 1
LCM(121,8839) = 1069519 / 1
LCM(121,8839) = 1069519
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 4389/121, 6970/8839?
Answer: GCF of Numerators as per given numbers 4389/121, 6970/8839 is
GCF of Numerators i.e. for 4389,6970 is 1
LCM of denominators i.e. for 121,8839 is 1069519.
Thus, GCF of Fractions is 1/1069519.Finally, GCF of Fractions for 4389/121, 6970/8839 is 1/1069519.