Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3231/566,6771/4235
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 3231,6771
Greatest Common Factor of Numerators i.e. GCF of 3231,6771 is 3 .
LCM of Denominators means LCM of 566,4235 as per the given fractions.
LCM of 566,4235 is 2397010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3231,6771
3 | 3231, 6771 |
1077, 2257 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3231
List of positive integer factors of 3231 that divides 3231 without a remainder.
1,3,9,359,1077,3231
Factors of 6771
List of positive integer factors of 6771 that divides 6771 without a remainder.
1,3,37,61,111,183,2257,6771
Greatest Common Factor
We found the factors 3231,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 3231,6771 is 3.
Lets's calculate LCM of 566,4235
Given numbers has no common factors except 1. So, there LCM is their product i.e 2397010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2397010
Therefore, the GCF of Fractions 3231/566,6771/4235 is 3/2397010
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 566,4235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,4235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,4235) x common factors =1 x 1 = 1
LCM(566,4235) = ( 566 × 4235 ) / 1
LCM(566,4235) = 2397010 / 1
LCM(566,4235) = 2397010
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 3231/566, 6771/4235?
Answer: GCF of Numerators as per given numbers 3231/566, 6771/4235 is
GCF of Numerators i.e. for 3231,6771 is 3
LCM of denominators i.e. for 566,4235 is 2397010.
Thus, GCF of Fractions is 3/2397010.Finally, GCF of Fractions for 3231/566, 6771/4235 is 3/2397010.