Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6223/95,6149/427
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 6223,6149
Greatest Common Factor of Numerators i.e. GCF of 6223,6149 is 1 .
LCM of Denominators means LCM of 95,427 as per the given fractions.
LCM of 95,427 is 40565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6223,6149
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6223
List of positive integer factors of 6223 that divides 6223 without a remainder.
1,7,49,127,889,6223
Factors of 6149
List of positive integer factors of 6149 that divides 6149 without a remainder.
1,11,13,43,143,473,559,6149
Greatest Common Factor
We found the factors 6223,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 6223,6149 is 1.
Lets's calculate LCM of 95,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 40565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40565
Therefore, the GCF of Fractions 6223/95,6149/427 is 1/40565
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 95,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,427) x common factors =1 x 1 = 1
LCM(95,427) = ( 95 × 427 ) / 1
LCM(95,427) = 40565 / 1
LCM(95,427) = 40565
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 6223/95, 6149/427?
Answer: GCF of Numerators as per given numbers 6223/95, 6149/427 is
GCF of Numerators i.e. for 6223,6149 is 1
LCM of denominators i.e. for 95,427 is 40565.
Thus, GCF of Fractions is 1/40565.Finally, GCF of Fractions for 6223/95, 6149/427 is 1/40565.