Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7005/243,5194/541
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 7005,5194
Greatest Common Factor of Numerators i.e. GCF of 7005,5194 is 1 .
LCM of Denominators means LCM of 243,541 as per the given fractions.
LCM of 243,541 is 131463 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7005,5194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7005
List of positive integer factors of 7005 that divides 7005 without a remainder.
1,3,5,15,467,1401,2335,7005
Factors of 5194
List of positive integer factors of 5194 that divides 5194 without a remainder.
1,2,7,14,49,53,98,106,371,742,2597,5194
Greatest Common Factor
We found the factors 7005,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 7005,5194 is 1.
Lets's calculate LCM of 243,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 131463
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131463
Therefore, the GCF of Fractions 7005/243,5194/541 is 1/131463
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 243,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,541) x common factors =1 x 1 = 1
LCM(243,541) = ( 243 × 541 ) / 1
LCM(243,541) = 131463 / 1
LCM(243,541) = 131463
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 7005/243, 5194/541?
Answer: GCF of Numerators as per given numbers 7005/243, 5194/541 is
GCF of Numerators i.e. for 7005,5194 is 1
LCM of denominators i.e. for 243,541 is 131463.
Thus, GCF of Fractions is 1/131463.Finally, GCF of Fractions for 7005/243, 5194/541 is 1/131463.