Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5739/38,6541/968
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 5739,6541
Greatest Common Factor of Numerators i.e. GCF of 5739,6541 is 1 .
LCM of Denominators means LCM of 38,968 as per the given fractions.
LCM of 38,968 is 18392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5739,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5739
List of positive integer factors of 5739 that divides 5739 without a remainder.
1,3,1913,5739
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1,31,211,6541
Greatest Common Factor
We found the factors 5739,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 5739,6541 is 1.
Lets's calculate LCM of 38,968
2 | 38, 968 |
19, 484 |
∴ So the LCM of the given numbers is 2 x 19 x 484 = 18392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18392
Therefore, the GCF of Fractions 5739/38,6541/968 is 1/18392
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 38,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,968) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,968) x common factors =2 x 1 = 2
LCM(38,968) = ( 38 × 968 ) / 2
LCM(38,968) = 36784 / 2
LCM(38,968) = 18392
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 5739/38, 6541/968?
Answer: GCF of Numerators as per given numbers 5739/38, 6541/968 is
GCF of Numerators i.e. for 5739,6541 is 1
LCM of denominators i.e. for 38,968 is 18392.
Thus, GCF of Fractions is 1/18392.Finally, GCF of Fractions for 5739/38, 6541/968 is 1/18392.