Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 241/1124,472/5605
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 241,472
Greatest Common Factor of Numerators i.e. GCF of 241,472 is 1 .
LCM of Denominators means LCM of 1124,5605 as per the given fractions.
LCM of 1124,5605 is 6300020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 241,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 241,472 . The biggest common factor number is the GCF number.
So the greatest common factor 241,472 is 1.
Lets's calculate LCM of 1124,5605
Given numbers has no common factors except 1. So, there LCM is their product i.e 6300020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300020
Therefore, the GCF of Fractions 241/1124,472/5605 is 1/6300020
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 1124,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1124,5605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1124,5605) x common factors =1 x 1 = 1
LCM(1124,5605) = ( 1124 × 5605 ) / 1
LCM(1124,5605) = 6300020 / 1
LCM(1124,5605) = 6300020
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 241/1124, 472/5605?
Answer: GCF of Numerators as per given numbers 241/1124, 472/5605 is
GCF of Numerators i.e. for 241,472 is 1
LCM of denominators i.e. for 1124,5605 is 6300020.
Thus, GCF of Fractions is 1/6300020.Finally, GCF of Fractions for 241/1124, 472/5605 is 1/6300020.