Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4131/540,3653/3734
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 4131,3653
Greatest Common Factor of Numerators i.e. GCF of 4131,3653 is 1 .
LCM of Denominators means LCM of 540,3734 as per the given fractions.
LCM of 540,3734 is 1008180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4131,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4131
List of positive integer factors of 4131 that divides 4131 without a remainder.
1,3,9,17,27,51,81,153,243,459,1377,4131
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Greatest Common Factor
We found the factors 4131,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 4131,3653 is 1.
Lets's calculate LCM of 540,3734
2 | 540, 3734 |
270, 1867 |
∴ So the LCM of the given numbers is 2 x 270 x 1867 = 1008180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008180
Therefore, the GCF of Fractions 4131/540,3653/3734 is 1/1008180
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 540,3734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,3734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(540,3734) x common factors =2 x 1 = 2
LCM(540,3734) = ( 540 × 3734 ) / 2
LCM(540,3734) = 2016360 / 2
LCM(540,3734) = 1008180
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 4131/540, 3653/3734?
Answer: GCF of Numerators as per given numbers 4131/540, 3653/3734 is
GCF of Numerators i.e. for 4131,3653 is 1
LCM of denominators i.e. for 540,3734 is 1008180.
Thus, GCF of Fractions is 1/1008180.Finally, GCF of Fractions for 4131/540, 3653/3734 is 1/1008180.