Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6111/839,1431/3278
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 6111,1431
Greatest Common Factor of Numerators i.e. GCF of 6111,1431 is 9 .
LCM of Denominators means LCM of 839,3278 as per the given fractions.
LCM of 839,3278 is 2750242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6111,1431
3 | 6111, 1431 |
3 | 2037, 477 |
679, 159 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 6111
List of positive integer factors of 6111 that divides 6111 without a remainder.
1,3,7,9,21,63,97,291,679,873,2037,6111
Factors of 1431
List of positive integer factors of 1431 that divides 1431 without a remainder.
1,3,9,27,53,159,477,1431
Greatest Common Factor
We found the factors 6111,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 6111,1431 is 9.
Lets's calculate LCM of 839,3278
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2750242
Therefore, the GCF of Fractions 6111/839,1431/3278 is 9/2750242
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 839,3278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,3278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,3278) x common factors =1 x 1 = 1
LCM(839,3278) = ( 839 × 3278 ) / 1
LCM(839,3278) = 2750242 / 1
LCM(839,3278) = 2750242
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 6111/839, 1431/3278?
Answer: GCF of Numerators as per given numbers 6111/839, 1431/3278 is
GCF of Numerators i.e. for 6111,1431 is 9
LCM of denominators i.e. for 839,3278 is 2750242.
Thus, GCF of Fractions is 9/2750242.Finally, GCF of Fractions for 6111/839, 1431/3278 is 9/2750242.