Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3677/354,6032/408
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 3677,6032
Greatest Common Factor of Numerators i.e. GCF of 3677,6032 is 1 .
LCM of Denominators means LCM of 354,408 as per the given fractions.
LCM of 354,408 is 24072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3677,6032
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3677
List of positive integer factors of 3677 that divides 3677 without a remainder.
1,3677
Factors of 6032
List of positive integer factors of 6032 that divides 6032 without a remainder.
1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032
Greatest Common Factor
We found the factors 3677,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 3677,6032 is 1.
Lets's calculate LCM of 354,408
2 | 354, 408 |
3 | 177, 204 |
59, 68 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 68 = 24072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24072
Therefore, the GCF of Fractions 3677/354,6032/408 is 1/24072
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 354,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,408) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,408) x common factors =6 x 1 = 6
LCM(354,408) = ( 354 × 408 ) / 6
LCM(354,408) = 144432 / 6
LCM(354,408) = 24072
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 3677/354, 6032/408?
Answer: GCF of Numerators as per given numbers 3677/354, 6032/408 is
GCF of Numerators i.e. for 3677,6032 is 1
LCM of denominators i.e. for 354,408 is 24072.
Thus, GCF of Fractions is 1/24072.Finally, GCF of Fractions for 3677/354, 6032/408 is 1/24072.