Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6596/443,5400/203
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 6596,5400
Greatest Common Factor of Numerators i.e. GCF of 6596,5400 is 4 .
LCM of Denominators means LCM of 443,203 as per the given fractions.
LCM of 443,203 is 89929 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6596,5400
2 | 6596, 5400 |
2 | 3298, 2700 |
1649, 1350 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6596
List of positive integer factors of 6596 that divides 6596 without a remainder.
1,2,4,17,34,68,97,194,388,1649,3298,6596
Factors of 5400
List of positive integer factors of 5400 that divides 5400 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Greatest Common Factor
We found the factors 6596,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 6596,5400 is 4.
Lets's calculate LCM of 443,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 89929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/89929
Therefore, the GCF of Fractions 6596/443,5400/203 is 4/89929
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 443,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,203) x common factors =1 x 1 = 1
LCM(443,203) = ( 443 × 203 ) / 1
LCM(443,203) = 89929 / 1
LCM(443,203) = 89929
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 6596/443, 5400/203?
Answer: GCF of Numerators as per given numbers 6596/443, 5400/203 is
GCF of Numerators i.e. for 6596,5400 is 4
LCM of denominators i.e. for 443,203 is 89929.
Thus, GCF of Fractions is 4/89929.Finally, GCF of Fractions for 6596/443, 5400/203 is 4/89929.