Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/191,9814/398
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 458,9814
Greatest Common Factor of Numerators i.e. GCF of 458,9814 is 2 .
LCM of Denominators means LCM of 191,398 as per the given fractions.
LCM of 191,398 is 76018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,9814
2 | 458, 9814 |
229, 4907 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 9814
List of positive integer factors of 9814 that divides 9814 without a remainder.
1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 458,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 458,9814 is 2.
Lets's calculate LCM of 191,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 76018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76018
Therefore, the GCF of Fractions 458/191,9814/398 is 2/76018
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 191,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,398) x common factors =1 x 1 = 1
LCM(191,398) = ( 191 × 398 ) / 1
LCM(191,398) = 76018 / 1
LCM(191,398) = 76018
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 458/191, 9814/398?
Answer: GCF of Numerators as per given numbers 458/191, 9814/398 is
GCF of Numerators i.e. for 458,9814 is 2
LCM of denominators i.e. for 191,398 is 76018.
Thus, GCF of Fractions is 2/76018.Finally, GCF of Fractions for 458/191, 9814/398 is 2/76018.