Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/655,3950/124
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 386,3950
Greatest Common Factor of Numerators i.e. GCF of 386,3950 is 2 .
LCM of Denominators means LCM of 655,124 as per the given fractions.
LCM of 655,124 is 81220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,3950
2 | 386, 3950 |
193, 1975 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 3950
List of positive integer factors of 3950 that divides 3950 without a remainder.
1,2,5,10,25,50,79,158,395,790,1975,3950
Greatest Common Factor
We found the factors 386,3950 . The biggest common factor number is the GCF number.
So the greatest common factor 386,3950 is 2.
Lets's calculate LCM of 655,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 81220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81220
Therefore, the GCF of Fractions 386/655,3950/124 is 2/81220
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 655,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,124) x common factors =1 x 1 = 1
LCM(655,124) = ( 655 × 124 ) / 1
LCM(655,124) = 81220 / 1
LCM(655,124) = 81220
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 386/655, 3950/124?
Answer: GCF of Numerators as per given numbers 386/655, 3950/124 is
GCF of Numerators i.e. for 386,3950 is 2
LCM of denominators i.e. for 655,124 is 81220.
Thus, GCF of Fractions is 2/81220.Finally, GCF of Fractions for 386/655, 3950/124 is 2/81220.