Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7135/18,6728/432
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 7135,6728
Greatest Common Factor of Numerators i.e. GCF of 7135,6728 is 1 .
LCM of Denominators means LCM of 18,432 as per the given fractions.
LCM of 18,432 is 432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7135,6728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7135
List of positive integer factors of 7135 that divides 7135 without a remainder.
1,5,1427,7135
Factors of 6728
List of positive integer factors of 6728 that divides 6728 without a remainder.
1,2,4,8,29,58,116,232,841,1682,3364,6728
Greatest Common Factor
We found the factors 7135,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 7135,6728 is 1.
Lets's calculate LCM of 18,432
2 | 18, 432 |
3 | 9, 216 |
3 | 3, 72 |
1, 24 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 24 = 432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432
Therefore, the GCF of Fractions 7135/18,6728/432 is 1/432
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 18,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,432) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(18,432) x common factors =18 x 1 = 18
LCM(18,432) = ( 18 × 432 ) / 18
LCM(18,432) = 7776 / 18
LCM(18,432) = 432
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 7135/18, 6728/432?
Answer: GCF of Numerators as per given numbers 7135/18, 6728/432 is
GCF of Numerators i.e. for 7135,6728 is 1
LCM of denominators i.e. for 18,432 is 432.
Thus, GCF of Fractions is 1/432.Finally, GCF of Fractions for 7135/18, 6728/432 is 1/432.