Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2743/925,8848/9046
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 2743,8848
Greatest Common Factor of Numerators i.e. GCF of 2743,8848 is 1 .
LCM of Denominators means LCM of 925,9046 as per the given fractions.
LCM of 925,9046 is 8367550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2743,8848
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1,13,211,2743
Factors of 8848
List of positive integer factors of 8848 that divides 8848 without a remainder.
1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Greatest Common Factor
We found the factors 2743,8848 . The biggest common factor number is the GCF number.
So the greatest common factor 2743,8848 is 1.
Lets's calculate LCM of 925,9046
Given numbers has no common factors except 1. So, there LCM is their product i.e 8367550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8367550
Therefore, the GCF of Fractions 2743/925,8848/9046 is 1/8367550
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 925,9046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,9046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,9046) x common factors =1 x 1 = 1
LCM(925,9046) = ( 925 × 9046 ) / 1
LCM(925,9046) = 8367550 / 1
LCM(925,9046) = 8367550
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 2743/925, 8848/9046?
Answer: GCF of Numerators as per given numbers 2743/925, 8848/9046 is
GCF of Numerators i.e. for 2743,8848 is 1
LCM of denominators i.e. for 925,9046 is 8367550.
Thus, GCF of Fractions is 1/8367550.Finally, GCF of Fractions for 2743/925, 8848/9046 is 1/8367550.