Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6529/243,5542/4125
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 6529,5542
Greatest Common Factor of Numerators i.e. GCF of 6529,5542 is 1 .
LCM of Denominators means LCM of 243,4125 as per the given fractions.
LCM of 243,4125 is 334125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6529,5542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6529
List of positive integer factors of 6529 that divides 6529 without a remainder.
1,6529
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1,2,17,34,163,326,2771,5542
Greatest Common Factor
We found the factors 6529,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 6529,5542 is 1.
Lets's calculate LCM of 243,4125
3 | 243, 4125 |
81, 1375 |
∴ So the LCM of the given numbers is 3 x 81 x 1375 = 334125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334125
Therefore, the GCF of Fractions 6529/243,5542/4125 is 1/334125
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 243,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,4125) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,4125) x common factors =3 x 1 = 3
LCM(243,4125) = ( 243 × 4125 ) / 3
LCM(243,4125) = 1002375 / 3
LCM(243,4125) = 334125
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 6529/243, 5542/4125?
Answer: GCF of Numerators as per given numbers 6529/243, 5542/4125 is
GCF of Numerators i.e. for 6529,5542 is 1
LCM of denominators i.e. for 243,4125 is 334125.
Thus, GCF of Fractions is 1/334125.Finally, GCF of Fractions for 6529/243, 5542/4125 is 1/334125.