Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5533/306,2725/269
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 5533,2725
Greatest Common Factor of Numerators i.e. GCF of 5533,2725 is 1 .
LCM of Denominators means LCM of 306,269 as per the given fractions.
LCM of 306,269 is 82314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5533,2725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5533
List of positive integer factors of 5533 that divides 5533 without a remainder.
1,11,503,5533
Factors of 2725
List of positive integer factors of 2725 that divides 2725 without a remainder.
1,5,25,109,545,2725
Greatest Common Factor
We found the factors 5533,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 5533,2725 is 1.
Lets's calculate LCM of 306,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 82314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82314
Therefore, the GCF of Fractions 5533/306,2725/269 is 1/82314
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 306,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,269) x common factors =1 x 1 = 1
LCM(306,269) = ( 306 × 269 ) / 1
LCM(306,269) = 82314 / 1
LCM(306,269) = 82314
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 5533/306, 2725/269?
Answer: GCF of Numerators as per given numbers 5533/306, 2725/269 is
GCF of Numerators i.e. for 5533,2725 is 1
LCM of denominators i.e. for 306,269 is 82314.
Thus, GCF of Fractions is 1/82314.Finally, GCF of Fractions for 5533/306, 2725/269 is 1/82314.