Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2226/63,3191/569
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 2226,3191
Greatest Common Factor of Numerators i.e. GCF of 2226,3191 is 1 .
LCM of Denominators means LCM of 63,569 as per the given fractions.
LCM of 63,569 is 35847 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2226,3191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2226
List of positive integer factors of 2226 that divides 2226 without a remainder.
1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226
Factors of 3191
List of positive integer factors of 3191 that divides 3191 without a remainder.
1,3191
Greatest Common Factor
We found the factors 2226,3191 . The biggest common factor number is the GCF number.
So the greatest common factor 2226,3191 is 1.
Lets's calculate LCM of 63,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 35847
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35847
Therefore, the GCF of Fractions 2226/63,3191/569 is 1/35847
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 63,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,569) x common factors =1 x 1 = 1
LCM(63,569) = ( 63 × 569 ) / 1
LCM(63,569) = 35847 / 1
LCM(63,569) = 35847
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 2226/63, 3191/569?
Answer: GCF of Numerators as per given numbers 2226/63, 3191/569 is
GCF of Numerators i.e. for 2226,3191 is 1
LCM of denominators i.e. for 63,569 is 35847.
Thus, GCF of Fractions is 1/35847.Finally, GCF of Fractions for 2226/63, 3191/569 is 1/35847.