Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 179/72,7158/411
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 179,7158
Greatest Common Factor of Numerators i.e. GCF of 179,7158 is 1 .
LCM of Denominators means LCM of 72,411 as per the given fractions.
LCM of 72,411 is 9864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 179,7158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 7158
List of positive integer factors of 7158 that divides 7158 without a remainder.
1,2,3,6,1193,2386,3579,7158
Greatest Common Factor
We found the factors 179,7158 . The biggest common factor number is the GCF number.
So the greatest common factor 179,7158 is 1.
Lets's calculate LCM of 72,411
3 | 72, 411 |
24, 137 |
∴ So the LCM of the given numbers is 3 x 24 x 137 = 9864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9864
Therefore, the GCF of Fractions 179/72,7158/411 is 1/9864
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 72,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,411) x common factors =3 x 1 = 3
LCM(72,411) = ( 72 × 411 ) / 3
LCM(72,411) = 29592 / 3
LCM(72,411) = 9864
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 179/72, 7158/411?
Answer: GCF of Numerators as per given numbers 179/72, 7158/411 is
GCF of Numerators i.e. for 179,7158 is 1
LCM of denominators i.e. for 72,411 is 9864.
Thus, GCF of Fractions is 1/9864.Finally, GCF of Fractions for 179/72, 7158/411 is 1/9864.