Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5541/105,5707/3865
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 5541,5707
Greatest Common Factor of Numerators i.e. GCF of 5541,5707 is 1 .
LCM of Denominators means LCM of 105,3865 as per the given fractions.
LCM of 105,3865 is 81165 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5541,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5541
List of positive integer factors of 5541 that divides 5541 without a remainder.
1,3,1847,5541
Factors of 5707
List of positive integer factors of 5707 that divides 5707 without a remainder.
1,13,439,5707
Greatest Common Factor
We found the factors 5541,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,5707 is 1.
Lets's calculate LCM of 105,3865
5 | 105, 3865 |
21, 773 |
∴ So the LCM of the given numbers is 5 x 21 x 773 = 81165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81165
Therefore, the GCF of Fractions 5541/105,5707/3865 is 1/81165
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 105,3865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,3865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,3865) x common factors =5 x 1 = 5
LCM(105,3865) = ( 105 × 3865 ) / 5
LCM(105,3865) = 405825 / 5
LCM(105,3865) = 81165
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 5541/105, 5707/3865?
Answer: GCF of Numerators as per given numbers 5541/105, 5707/3865 is
GCF of Numerators i.e. for 5541,5707 is 1
LCM of denominators i.e. for 105,3865 is 81165.
Thus, GCF of Fractions is 1/81165.Finally, GCF of Fractions for 5541/105, 5707/3865 is 1/81165.