Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3643/536,3001/891
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 3643,3001
Greatest Common Factor of Numerators i.e. GCF of 3643,3001 is 1 .
LCM of Denominators means LCM of 536,891 as per the given fractions.
LCM of 536,891 is 477576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3643,3001
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3643
List of positive integer factors of 3643 that divides 3643 without a remainder.
1,3643
Factors of 3001
List of positive integer factors of 3001 that divides 3001 without a remainder.
1,3001
Greatest Common Factor
We found the factors 3643,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 3643,3001 is 1.
Lets's calculate LCM of 536,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 477576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477576
Therefore, the GCF of Fractions 3643/536,3001/891 is 1/477576
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 536,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,891) x common factors =1 x 1 = 1
LCM(536,891) = ( 536 × 891 ) / 1
LCM(536,891) = 477576 / 1
LCM(536,891) = 477576
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 3643/536, 3001/891?
Answer: GCF of Numerators as per given numbers 3643/536, 3001/891 is
GCF of Numerators i.e. for 3643,3001 is 1
LCM of denominators i.e. for 536,891 is 477576.
Thus, GCF of Fractions is 1/477576.Finally, GCF of Fractions for 3643/536, 3001/891 is 1/477576.