Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2249/898,5136/4147
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 2249,5136
Greatest Common Factor of Numerators i.e. GCF of 2249,5136 is 1 .
LCM of Denominators means LCM of 898,4147 as per the given fractions.
LCM of 898,4147 is 3724006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2249,5136
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2249
List of positive integer factors of 2249 that divides 2249 without a remainder.
1,13,173,2249
Factors of 5136
List of positive integer factors of 5136 that divides 5136 without a remainder.
1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Greatest Common Factor
We found the factors 2249,5136 . The biggest common factor number is the GCF number.
So the greatest common factor 2249,5136 is 1.
Lets's calculate LCM of 898,4147
Given numbers has no common factors except 1. So, there LCM is their product i.e 3724006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3724006
Therefore, the GCF of Fractions 2249/898,5136/4147 is 1/3724006
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 898,4147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,4147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,4147) x common factors =1 x 1 = 1
LCM(898,4147) = ( 898 × 4147 ) / 1
LCM(898,4147) = 3724006 / 1
LCM(898,4147) = 3724006
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 2249/898, 5136/4147?
Answer: GCF of Numerators as per given numbers 2249/898, 5136/4147 is
GCF of Numerators i.e. for 2249,5136 is 1
LCM of denominators i.e. for 898,4147 is 3724006.
Thus, GCF of Fractions is 1/3724006.Finally, GCF of Fractions for 2249/898, 5136/4147 is 1/3724006.