Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/64,361/4217
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 109,361
Greatest Common Factor of Numerators i.e. GCF of 109,361 is 1 .
LCM of Denominators means LCM of 64,4217 as per the given fractions.
LCM of 64,4217 is 269888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 109,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 109,361 . The biggest common factor number is the GCF number.
So the greatest common factor 109,361 is 1.
Lets's calculate LCM of 64,4217
Given numbers has no common factors except 1. So, there LCM is their product i.e 269888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269888
Therefore, the GCF of Fractions 109/64,361/4217 is 1/269888
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 64,4217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4217) x common factors =1 x 1 = 1
LCM(64,4217) = ( 64 × 4217 ) / 1
LCM(64,4217) = 269888 / 1
LCM(64,4217) = 269888
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 109/64, 361/4217?
Answer: GCF of Numerators as per given numbers 109/64, 361/4217 is
GCF of Numerators i.e. for 109,361 is 1
LCM of denominators i.e. for 64,4217 is 269888.
Thus, GCF of Fractions is 1/269888.Finally, GCF of Fractions for 109/64, 361/4217 is 1/269888.