Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5537/10,9490/243
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 5537,9490
Greatest Common Factor of Numerators i.e. GCF of 5537,9490 is 1 .
LCM of Denominators means LCM of 10,243 as per the given fractions.
LCM of 10,243 is 2430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5537,9490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1,7,49,113,791,5537
Factors of 9490
List of positive integer factors of 9490 that divides 9490 without a remainder.
1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors 5537,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 5537,9490 is 1.
Lets's calculate LCM of 10,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 2430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2430
Therefore, the GCF of Fractions 5537/10,9490/243 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 10,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,243) x common factors =1 x 1 = 1
LCM(10,243) = ( 10 × 243 ) / 1
LCM(10,243) = 2430 / 1
LCM(10,243) = 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 5537/10, 9490/243?
Answer: GCF of Numerators as per given numbers 5537/10, 9490/243 is
GCF of Numerators i.e. for 5537,9490 is 1
LCM of denominators i.e. for 10,243 is 2430.
Thus, GCF of Fractions is 1/2430.Finally, GCF of Fractions for 5537/10, 9490/243 is 1/2430.