Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9955/802,1819/4535
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 9955,1819
Greatest Common Factor of Numerators i.e. GCF of 9955,1819 is 1 .
LCM of Denominators means LCM of 802,4535 as per the given fractions.
LCM of 802,4535 is 3637070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9955,1819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9955
List of positive integer factors of 9955 that divides 9955 without a remainder.
1,5,11,55,181,905,1991,9955
Factors of 1819
List of positive integer factors of 1819 that divides 1819 without a remainder.
1,17,107,1819
Greatest Common Factor
We found the factors 9955,1819 . The biggest common factor number is the GCF number.
So the greatest common factor 9955,1819 is 1.
Lets's calculate LCM of 802,4535
Given numbers has no common factors except 1. So, there LCM is their product i.e 3637070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3637070
Therefore, the GCF of Fractions 9955/802,1819/4535 is 1/3637070
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 802,4535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4535) x common factors =1 x 1 = 1
LCM(802,4535) = ( 802 × 4535 ) / 1
LCM(802,4535) = 3637070 / 1
LCM(802,4535) = 3637070
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 9955/802, 1819/4535?
Answer: GCF of Numerators as per given numbers 9955/802, 1819/4535 is
GCF of Numerators i.e. for 9955,1819 is 1
LCM of denominators i.e. for 802,4535 is 3637070.
Thus, GCF of Fractions is 1/3637070.Finally, GCF of Fractions for 9955/802, 1819/4535 is 1/3637070.