Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7304/78,9255/408
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 7304,9255
Greatest Common Factor of Numerators i.e. GCF of 7304,9255 is 1 .
LCM of Denominators means LCM of 78,408 as per the given fractions.
LCM of 78,408 is 5304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7304,9255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7304
List of positive integer factors of 7304 that divides 7304 without a remainder.
1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304
Factors of 9255
List of positive integer factors of 9255 that divides 9255 without a remainder.
1,3,5,15,617,1851,3085,9255
Greatest Common Factor
We found the factors 7304,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 7304,9255 is 1.
Lets's calculate LCM of 78,408
2 | 78, 408 |
3 | 39, 204 |
13, 68 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 68 = 5304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5304
Therefore, the GCF of Fractions 7304/78,9255/408 is 1/5304
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 78,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,408) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,408) x common factors =6 x 1 = 6
LCM(78,408) = ( 78 × 408 ) / 6
LCM(78,408) = 31824 / 6
LCM(78,408) = 5304
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 7304/78, 9255/408?
Answer: GCF of Numerators as per given numbers 7304/78, 9255/408 is
GCF of Numerators i.e. for 7304,9255 is 1
LCM of denominators i.e. for 78,408 is 5304.
Thus, GCF of Fractions is 1/5304.Finally, GCF of Fractions for 7304/78, 9255/408 is 1/5304.