Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9827/44,4445/161
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 9827,4445
Greatest Common Factor of Numerators i.e. GCF of 9827,4445 is 1 .
LCM of Denominators means LCM of 44,161 as per the given fractions.
LCM of 44,161 is 7084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9827,4445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9827
List of positive integer factors of 9827 that divides 9827 without a remainder.
1,31,317,9827
Factors of 4445
List of positive integer factors of 4445 that divides 4445 without a remainder.
1,5,7,35,127,635,889,4445
Greatest Common Factor
We found the factors 9827,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 9827,4445 is 1.
Lets's calculate LCM of 44,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 7084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7084
Therefore, the GCF of Fractions 9827/44,4445/161 is 1/7084
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 44,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,161) x common factors =1 x 1 = 1
LCM(44,161) = ( 44 × 161 ) / 1
LCM(44,161) = 7084 / 1
LCM(44,161) = 7084
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 9827/44, 4445/161?
Answer: GCF of Numerators as per given numbers 9827/44, 4445/161 is
GCF of Numerators i.e. for 9827,4445 is 1
LCM of denominators i.e. for 44,161 is 7084.
Thus, GCF of Fractions is 1/7084.Finally, GCF of Fractions for 9827/44, 4445/161 is 1/7084.