Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4412/106,8763/831
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 4412,8763
Greatest Common Factor of Numerators i.e. GCF of 4412,8763 is 1 .
LCM of Denominators means LCM of 106,831 as per the given fractions.
LCM of 106,831 is 88086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4412,8763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4412
List of positive integer factors of 4412 that divides 4412 without a remainder.
1,2,4,1103,2206,4412
Factors of 8763
List of positive integer factors of 8763 that divides 8763 without a remainder.
1,3,23,69,127,381,2921,8763
Greatest Common Factor
We found the factors 4412,8763 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,8763 is 1.
Lets's calculate LCM of 106,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 88086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88086
Therefore, the GCF of Fractions 4412/106,8763/831 is 1/88086
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 106,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,831) x common factors =1 x 1 = 1
LCM(106,831) = ( 106 × 831 ) / 1
LCM(106,831) = 88086 / 1
LCM(106,831) = 88086
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 4412/106, 8763/831?
Answer: GCF of Numerators as per given numbers 4412/106, 8763/831 is
GCF of Numerators i.e. for 4412,8763 is 1
LCM of denominators i.e. for 106,831 is 88086.
Thus, GCF of Fractions is 1/88086.Finally, GCF of Fractions for 4412/106, 8763/831 is 1/88086.