Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/111,5036/124
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 261,5036
Greatest Common Factor of Numerators i.e. GCF of 261,5036 is 1 .
LCM of Denominators means LCM of 111,124 as per the given fractions.
LCM of 111,124 is 13764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 261,5036
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 5036
List of positive integer factors of 5036 that divides 5036 without a remainder.
1,2,4,1259,2518,5036
Greatest Common Factor
We found the factors 261,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 261,5036 is 1.
Lets's calculate LCM of 111,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 13764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13764
Therefore, the GCF of Fractions 261/111,5036/124 is 1/13764
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 111,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,124) x common factors =1 x 1 = 1
LCM(111,124) = ( 111 × 124 ) / 1
LCM(111,124) = 13764 / 1
LCM(111,124) = 13764
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 261/111, 5036/124?
Answer: GCF of Numerators as per given numbers 261/111, 5036/124 is
GCF of Numerators i.e. for 261,5036 is 1
LCM of denominators i.e. for 111,124 is 13764.
Thus, GCF of Fractions is 1/13764.Finally, GCF of Fractions for 261/111, 5036/124 is 1/13764.