Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8336/249,8897/338
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 8336,8897
Greatest Common Factor of Numerators i.e. GCF of 8336,8897 is 1 .
LCM of Denominators means LCM of 249,338 as per the given fractions.
LCM of 249,338 is 84162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8336,8897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8336
List of positive integer factors of 8336 that divides 8336 without a remainder.
1,2,4,8,16,521,1042,2084,4168,8336
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Greatest Common Factor
We found the factors 8336,8897 . The biggest common factor number is the GCF number.
So the greatest common factor 8336,8897 is 1.
Lets's calculate LCM of 249,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 84162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84162
Therefore, the GCF of Fractions 8336/249,8897/338 is 1/84162
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 249,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,338) x common factors =1 x 1 = 1
LCM(249,338) = ( 249 × 338 ) / 1
LCM(249,338) = 84162 / 1
LCM(249,338) = 84162
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 8336/249, 8897/338?
Answer: GCF of Numerators as per given numbers 8336/249, 8897/338 is
GCF of Numerators i.e. for 8336,8897 is 1
LCM of denominators i.e. for 249,338 is 84162.
Thus, GCF of Fractions is 1/84162.Finally, GCF of Fractions for 8336/249, 8897/338 is 1/84162.