Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3742/54,6452/835
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 3742,6452
Greatest Common Factor of Numerators i.e. GCF of 3742,6452 is 2 .
LCM of Denominators means LCM of 54,835 as per the given fractions.
LCM of 54,835 is 45090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3742,6452
2 | 3742, 6452 |
1871, 3226 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3742
List of positive integer factors of 3742 that divides 3742 without a remainder.
1,2,1871,3742
Factors of 6452
List of positive integer factors of 6452 that divides 6452 without a remainder.
1,2,4,1613,3226,6452
Greatest Common Factor
We found the factors 3742,6452 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,6452 is 2.
Lets's calculate LCM of 54,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 45090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45090
Therefore, the GCF of Fractions 3742/54,6452/835 is 2/45090
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 54,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,835) x common factors =1 x 1 = 1
LCM(54,835) = ( 54 × 835 ) / 1
LCM(54,835) = 45090 / 1
LCM(54,835) = 45090
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 3742/54, 6452/835?
Answer: GCF of Numerators as per given numbers 3742/54, 6452/835 is
GCF of Numerators i.e. for 3742,6452 is 2
LCM of denominators i.e. for 54,835 is 45090.
Thus, GCF of Fractions is 2/45090.Finally, GCF of Fractions for 3742/54, 6452/835 is 2/45090.