Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 441/399,2912/866
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 441,2912
Greatest Common Factor of Numerators i.e. GCF of 441,2912 is 7 .
LCM of Denominators means LCM of 399,866 as per the given fractions.
LCM of 399,866 is 345534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 441,2912
7 | 441, 2912 |
63, 416 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 2912
List of positive integer factors of 2912 that divides 2912 without a remainder.
1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 441,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 441,2912 is 7.
Lets's calculate LCM of 399,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 345534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/345534
Therefore, the GCF of Fractions 441/399,2912/866 is 7/345534
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 399,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,866) x common factors =1 x 1 = 1
LCM(399,866) = ( 399 × 866 ) / 1
LCM(399,866) = 345534 / 1
LCM(399,866) = 345534
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 441/399, 2912/866?
Answer: GCF of Numerators as per given numbers 441/399, 2912/866 is
GCF of Numerators i.e. for 441,2912 is 7
LCM of denominators i.e. for 399,866 is 345534.
Thus, GCF of Fractions is 7/345534.Finally, GCF of Fractions for 441/399, 2912/866 is 7/345534.