Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1441/367,3324/7135
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 1441,3324
Greatest Common Factor of Numerators i.e. GCF of 1441,3324 is 1 .
LCM of Denominators means LCM of 367,7135 as per the given fractions.
LCM of 367,7135 is 2618545 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1441,3324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1441
List of positive integer factors of 1441 that divides 1441 without a remainder.
1,11,131,1441
Factors of 3324
List of positive integer factors of 3324 that divides 3324 without a remainder.
1,2,3,4,6,12,277,554,831,1108,1662,3324
Greatest Common Factor
We found the factors 1441,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,3324 is 1.
Lets's calculate LCM of 367,7135
Given numbers has no common factors except 1. So, there LCM is their product i.e 2618545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2618545
Therefore, the GCF of Fractions 1441/367,3324/7135 is 1/2618545
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 367,7135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,7135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,7135) x common factors =1 x 1 = 1
LCM(367,7135) = ( 367 × 7135 ) / 1
LCM(367,7135) = 2618545 / 1
LCM(367,7135) = 2618545
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 1441/367, 3324/7135?
Answer: GCF of Numerators as per given numbers 1441/367, 3324/7135 is
GCF of Numerators i.e. for 1441,3324 is 1
LCM of denominators i.e. for 367,7135 is 2618545.
Thus, GCF of Fractions is 1/2618545.Finally, GCF of Fractions for 1441/367, 3324/7135 is 1/2618545.