Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/386,5133/116
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 421,5133
Greatest Common Factor of Numerators i.e. GCF of 421,5133 is 1 .
LCM of Denominators means LCM of 386,116 as per the given fractions.
LCM of 386,116 is 22388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 421,5133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 5133
List of positive integer factors of 5133 that divides 5133 without a remainder.
1,3,29,59,87,177,1711,5133
Greatest Common Factor
We found the factors 421,5133 . The biggest common factor number is the GCF number.
So the greatest common factor 421,5133 is 1.
Lets's calculate LCM of 386,116
2 | 386, 116 |
193, 58 |
∴ So the LCM of the given numbers is 2 x 193 x 58 = 22388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22388
Therefore, the GCF of Fractions 421/386,5133/116 is 1/22388
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 386,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,116) x common factors =2 x 1 = 2
LCM(386,116) = ( 386 × 116 ) / 2
LCM(386,116) = 44776 / 2
LCM(386,116) = 22388
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 421/386, 5133/116?
Answer: GCF of Numerators as per given numbers 421/386, 5133/116 is
GCF of Numerators i.e. for 421,5133 is 1
LCM of denominators i.e. for 386,116 is 22388.
Thus, GCF of Fractions is 1/22388.Finally, GCF of Fractions for 421/386, 5133/116 is 1/22388.