Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2224/448,1051/9147
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 2224,1051
Greatest Common Factor of Numerators i.e. GCF of 2224,1051 is 1 .
LCM of Denominators means LCM of 448,9147 as per the given fractions.
LCM of 448,9147 is 4097856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2224,1051
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2224
List of positive integer factors of 2224 that divides 2224 without a remainder.
1,2,4,8,16,139,278,556,1112,2224
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1,1051
Greatest Common Factor
We found the factors 2224,1051 . The biggest common factor number is the GCF number.
So the greatest common factor 2224,1051 is 1.
Lets's calculate LCM of 448,9147
Given numbers has no common factors except 1. So, there LCM is their product i.e 4097856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4097856
Therefore, the GCF of Fractions 2224/448,1051/9147 is 1/4097856
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 448,9147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,9147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,9147) x common factors =1 x 1 = 1
LCM(448,9147) = ( 448 × 9147 ) / 1
LCM(448,9147) = 4097856 / 1
LCM(448,9147) = 4097856
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 2224/448, 1051/9147?
Answer: GCF of Numerators as per given numbers 2224/448, 1051/9147 is
GCF of Numerators i.e. for 2224,1051 is 1
LCM of denominators i.e. for 448,9147 is 4097856.
Thus, GCF of Fractions is 1/4097856.Finally, GCF of Fractions for 2224/448, 1051/9147 is 1/4097856.