Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4866/955,9462/2198
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 4866,9462
Greatest Common Factor of Numerators i.e. GCF of 4866,9462 is 6 .
LCM of Denominators means LCM of 955,2198 as per the given fractions.
LCM of 955,2198 is 2099090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4866,9462
2 | 4866, 9462 |
3 | 2433, 4731 |
811, 1577 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4866
List of positive integer factors of 4866 that divides 4866 without a remainder.
1,2,3,6,811,1622,2433,4866
Factors of 9462
List of positive integer factors of 9462 that divides 9462 without a remainder.
1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 4866,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 4866,9462 is 6.
Lets's calculate LCM of 955,2198
Given numbers has no common factors except 1. So, there LCM is their product i.e 2099090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2099090
Therefore, the GCF of Fractions 4866/955,9462/2198 is 6/2099090
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 955,2198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,2198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,2198) x common factors =1 x 1 = 1
LCM(955,2198) = ( 955 × 2198 ) / 1
LCM(955,2198) = 2099090 / 1
LCM(955,2198) = 2099090
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 4866/955, 9462/2198?
Answer: GCF of Numerators as per given numbers 4866/955, 9462/2198 is
GCF of Numerators i.e. for 4866,9462 is 6
LCM of denominators i.e. for 955,2198 is 2099090.
Thus, GCF of Fractions is 6/2099090.Finally, GCF of Fractions for 4866/955, 9462/2198 is 6/2099090.