Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4354/605,1803/996
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 4354,1803
Greatest Common Factor of Numerators i.e. GCF of 4354,1803 is 1 .
LCM of Denominators means LCM of 605,996 as per the given fractions.
LCM of 605,996 is 602580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4354,1803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4354
List of positive integer factors of 4354 that divides 4354 without a remainder.
1,2,7,14,311,622,2177,4354
Factors of 1803
List of positive integer factors of 1803 that divides 1803 without a remainder.
1,3,601,1803
Greatest Common Factor
We found the factors 4354,1803 . The biggest common factor number is the GCF number.
So the greatest common factor 4354,1803 is 1.
Lets's calculate LCM of 605,996
Given numbers has no common factors except 1. So, there LCM is their product i.e 602580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602580
Therefore, the GCF of Fractions 4354/605,1803/996 is 1/602580
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 605,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,996) x common factors =1 x 1 = 1
LCM(605,996) = ( 605 × 996 ) / 1
LCM(605,996) = 602580 / 1
LCM(605,996) = 602580
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 4354/605, 1803/996?
Answer: GCF of Numerators as per given numbers 4354/605, 1803/996 is
GCF of Numerators i.e. for 4354,1803 is 1
LCM of denominators i.e. for 605,996 is 602580.
Thus, GCF of Fractions is 1/602580.Finally, GCF of Fractions for 4354/605, 1803/996 is 1/602580.