Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 238/499,2024/3857
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 238,2024
Greatest Common Factor of Numerators i.e. GCF of 238,2024 is 2 .
LCM of Denominators means LCM of 499,3857 as per the given fractions.
LCM of 499,3857 is 1924643 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 238,2024
2 | 238, 2024 |
119, 1012 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 2024
List of positive integer factors of 2024 that divides 2024 without a remainder.
1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 238,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 238,2024 is 2.
Lets's calculate LCM of 499,3857
Given numbers has no common factors except 1. So, there LCM is their product i.e 1924643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1924643
Therefore, the GCF of Fractions 238/499,2024/3857 is 2/1924643
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 499,3857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,3857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,3857) x common factors =1 x 1 = 1
LCM(499,3857) = ( 499 × 3857 ) / 1
LCM(499,3857) = 1924643 / 1
LCM(499,3857) = 1924643
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 238/499, 2024/3857?
Answer: GCF of Numerators as per given numbers 238/499, 2024/3857 is
GCF of Numerators i.e. for 238,2024 is 2
LCM of denominators i.e. for 499,3857 is 1924643.
Thus, GCF of Fractions is 2/1924643.Finally, GCF of Fractions for 238/499, 2024/3857 is 2/1924643.