Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6678/819,4108/9929
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 6678,4108
Greatest Common Factor of Numerators i.e. GCF of 6678,4108 is 2 .
LCM of Denominators means LCM of 819,9929 as per the given fractions.
LCM of 819,9929 is 8131851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6678,4108
2 | 6678, 4108 |
3339, 2054 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6678
List of positive integer factors of 6678 that divides 6678 without a remainder.
1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678
Factors of 4108
List of positive integer factors of 4108 that divides 4108 without a remainder.
1,2,4,13,26,52,79,158,316,1027,2054,4108
Greatest Common Factor
We found the factors 6678,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 6678,4108 is 2.
Lets's calculate LCM of 819,9929
Given numbers has no common factors except 1. So, there LCM is their product i.e 8131851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8131851
Therefore, the GCF of Fractions 6678/819,4108/9929 is 2/8131851
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 819,9929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,9929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,9929) x common factors =1 x 1 = 1
LCM(819,9929) = ( 819 × 9929 ) / 1
LCM(819,9929) = 8131851 / 1
LCM(819,9929) = 8131851
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 6678/819, 4108/9929?
Answer: GCF of Numerators as per given numbers 6678/819, 4108/9929 is
GCF of Numerators i.e. for 6678,4108 is 2
LCM of denominators i.e. for 819,9929 is 8131851.
Thus, GCF of Fractions is 2/8131851.Finally, GCF of Fractions for 6678/819, 4108/9929 is 2/8131851.