Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6441/73,3541/158
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 6441,3541
Greatest Common Factor of Numerators i.e. GCF of 6441,3541 is 1 .
LCM of Denominators means LCM of 73,158 as per the given fractions.
LCM of 73,158 is 11534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6441,3541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6441
List of positive integer factors of 6441 that divides 6441 without a remainder.
1,3,19,57,113,339,2147,6441
Factors of 3541
List of positive integer factors of 3541 that divides 3541 without a remainder.
1,3541
Greatest Common Factor
We found the factors 6441,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 6441,3541 is 1.
Lets's calculate LCM of 73,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 11534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11534
Therefore, the GCF of Fractions 6441/73,3541/158 is 1/11534
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 73,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,158) x common factors =1 x 1 = 1
LCM(73,158) = ( 73 × 158 ) / 1
LCM(73,158) = 11534 / 1
LCM(73,158) = 11534
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 6441/73, 3541/158?
Answer: GCF of Numerators as per given numbers 6441/73, 3541/158 is
GCF of Numerators i.e. for 6441,3541 is 1
LCM of denominators i.e. for 73,158 is 11534.
Thus, GCF of Fractions is 1/11534.Finally, GCF of Fractions for 6441/73, 3541/158 is 1/11534.