Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/8185,124/4367
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 268,124
Greatest Common Factor of Numerators i.e. GCF of 268,124 is 4 .
LCM of Denominators means LCM of 8185,4367 as per the given fractions.
LCM of 8185,4367 is 35743895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,124
2 | 268, 124 |
2 | 134, 62 |
67, 31 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 268,124 . The biggest common factor number is the GCF number.
So the greatest common factor 268,124 is 4.
Lets's calculate LCM of 8185,4367
Given numbers has no common factors except 1. So, there LCM is their product i.e 35743895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35743895
Therefore, the GCF of Fractions 268/8185,124/4367 is 4/35743895
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 8185,4367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8185,4367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8185,4367) x common factors =1 x 1 = 1
LCM(8185,4367) = ( 8185 × 4367 ) / 1
LCM(8185,4367) = 35743895 / 1
LCM(8185,4367) = 35743895
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 268/8185, 124/4367?
Answer: GCF of Numerators as per given numbers 268/8185, 124/4367 is
GCF of Numerators i.e. for 268,124 is 4
LCM of denominators i.e. for 8185,4367 is 35743895.
Thus, GCF of Fractions is 4/35743895.Finally, GCF of Fractions for 268/8185, 124/4367 is 4/35743895.