Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5352/404,3936/4195
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 5352,3936
Greatest Common Factor of Numerators i.e. GCF of 5352,3936 is 24 .
LCM of Denominators means LCM of 404,4195 as per the given fractions.
LCM of 404,4195 is 1694780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5352,3936
2 | 5352, 3936 |
2 | 2676, 1968 |
2 | 1338, 984 |
3 | 669, 492 |
223, 164 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 5352
List of positive integer factors of 5352 that divides 5352 without a remainder.
1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Factors of 3936
List of positive integer factors of 3936 that divides 3936 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936
Greatest Common Factor
We found the factors 5352,3936 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,3936 is 24.
Lets's calculate LCM of 404,4195
Given numbers has no common factors except 1. So, there LCM is their product i.e 1694780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1694780
Therefore, the GCF of Fractions 5352/404,3936/4195 is 24/1694780
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 404,4195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,4195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,4195) x common factors =1 x 1 = 1
LCM(404,4195) = ( 404 × 4195 ) / 1
LCM(404,4195) = 1694780 / 1
LCM(404,4195) = 1694780
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 5352/404, 3936/4195?
Answer: GCF of Numerators as per given numbers 5352/404, 3936/4195 is
GCF of Numerators i.e. for 5352,3936 is 24
LCM of denominators i.e. for 404,4195 is 1694780.
Thus, GCF of Fractions is 24/1694780.Finally, GCF of Fractions for 5352/404, 3936/4195 is 24/1694780.