Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2192/847,4442/1851
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 2192,4442
Greatest Common Factor of Numerators i.e. GCF of 2192,4442 is 2 .
LCM of Denominators means LCM of 847,1851 as per the given fractions.
LCM of 847,1851 is 1567797 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2192,4442
2 | 2192, 4442 |
1096, 2221 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2192
List of positive integer factors of 2192 that divides 2192 without a remainder.
1,2,4,8,16,137,274,548,1096,2192
Factors of 4442
List of positive integer factors of 4442 that divides 4442 without a remainder.
1,2,2221,4442
Greatest Common Factor
We found the factors 2192,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 2192,4442 is 2.
Lets's calculate LCM of 847,1851
Given numbers has no common factors except 1. So, there LCM is their product i.e 1567797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1567797
Therefore, the GCF of Fractions 2192/847,4442/1851 is 2/1567797
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 847,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,1851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,1851) x common factors =1 x 1 = 1
LCM(847,1851) = ( 847 × 1851 ) / 1
LCM(847,1851) = 1567797 / 1
LCM(847,1851) = 1567797
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 2192/847, 4442/1851?
Answer: GCF of Numerators as per given numbers 2192/847, 4442/1851 is
GCF of Numerators i.e. for 2192,4442 is 2
LCM of denominators i.e. for 847,1851 is 1567797.
Thus, GCF of Fractions is 2/1567797.Finally, GCF of Fractions for 2192/847, 4442/1851 is 2/1567797.