Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6249/90,5008/243
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 6249,5008
Greatest Common Factor of Numerators i.e. GCF of 6249,5008 is 1 .
LCM of Denominators means LCM of 90,243 as per the given fractions.
LCM of 90,243 is 2430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6249,5008
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1,3,2083,6249
Factors of 5008
List of positive integer factors of 5008 that divides 5008 without a remainder.
1,2,4,8,16,313,626,1252,2504,5008
Greatest Common Factor
We found the factors 6249,5008 . The biggest common factor number is the GCF number.
So the greatest common factor 6249,5008 is 1.
Lets's calculate LCM of 90,243
3 | 90, 243 |
3 | 30, 81 |
10, 27 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 27 = 2430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2430
Therefore, the GCF of Fractions 6249/90,5008/243 is 1/2430
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 90,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,243) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(90,243) x common factors =9 x 1 = 9
LCM(90,243) = ( 90 × 243 ) / 9
LCM(90,243) = 21870 / 9
LCM(90,243) = 2430
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 6249/90, 5008/243?
Answer: GCF of Numerators as per given numbers 6249/90, 5008/243 is
GCF of Numerators i.e. for 6249,5008 is 1
LCM of denominators i.e. for 90,243 is 2430.
Thus, GCF of Fractions is 1/2430.Finally, GCF of Fractions for 6249/90, 5008/243 is 1/2430.