Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4447/533,5404/1098
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 4447,5404
Greatest Common Factor of Numerators i.e. GCF of 4447,5404 is 1 .
LCM of Denominators means LCM of 533,1098 as per the given fractions.
LCM of 533,1098 is 585234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4447,5404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4447
List of positive integer factors of 4447 that divides 4447 without a remainder.
1,4447
Factors of 5404
List of positive integer factors of 5404 that divides 5404 without a remainder.
1,2,4,7,14,28,193,386,772,1351,2702,5404
Greatest Common Factor
We found the factors 4447,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 4447,5404 is 1.
Lets's calculate LCM of 533,1098
Given numbers has no common factors except 1. So, there LCM is their product i.e 585234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585234
Therefore, the GCF of Fractions 4447/533,5404/1098 is 1/585234
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 533,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,1098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,1098) x common factors =1 x 1 = 1
LCM(533,1098) = ( 533 × 1098 ) / 1
LCM(533,1098) = 585234 / 1
LCM(533,1098) = 585234
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 4447/533, 5404/1098?
Answer: GCF of Numerators as per given numbers 4447/533, 5404/1098 is
GCF of Numerators i.e. for 4447,5404 is 1
LCM of denominators i.e. for 533,1098 is 585234.
Thus, GCF of Fractions is 1/585234.Finally, GCF of Fractions for 4447/533, 5404/1098 is 1/585234.