Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2032/190,6221/933
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 2032,6221
Greatest Common Factor of Numerators i.e. GCF of 2032,6221 is 1 .
LCM of Denominators means LCM of 190,933 as per the given fractions.
LCM of 190,933 is 177270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2032,6221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2032
List of positive integer factors of 2032 that divides 2032 without a remainder.
1,2,4,8,16,127,254,508,1016,2032
Factors of 6221
List of positive integer factors of 6221 that divides 6221 without a remainder.
1,6221
Greatest Common Factor
We found the factors 2032,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 2032,6221 is 1.
Lets's calculate LCM of 190,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 177270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177270
Therefore, the GCF of Fractions 2032/190,6221/933 is 1/177270
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 190,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(190,933) x common factors =1 x 1 = 1
LCM(190,933) = ( 190 × 933 ) / 1
LCM(190,933) = 177270 / 1
LCM(190,933) = 177270
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 2032/190, 6221/933?
Answer: GCF of Numerators as per given numbers 2032/190, 6221/933 is
GCF of Numerators i.e. for 2032,6221 is 1
LCM of denominators i.e. for 190,933 is 177270.
Thus, GCF of Fractions is 1/177270.Finally, GCF of Fractions for 2032/190, 6221/933 is 1/177270.