Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8211/448,4332/5822
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 8211,4332
Greatest Common Factor of Numerators i.e. GCF of 8211,4332 is 3 .
LCM of Denominators means LCM of 448,5822 as per the given fractions.
LCM of 448,5822 is 1304128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8211,4332
3 | 8211, 4332 |
2737, 1444 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Factors of 4332
List of positive integer factors of 4332 that divides 4332 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors 8211,4332 . The biggest common factor number is the GCF number.
So the greatest common factor 8211,4332 is 3.
Lets's calculate LCM of 448,5822
2 | 448, 5822 |
224, 2911 |
∴ So the LCM of the given numbers is 2 x 224 x 2911 = 1304128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1304128
Therefore, the GCF of Fractions 8211/448,4332/5822 is 3/1304128
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 448,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,5822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(448,5822) x common factors =2 x 1 = 2
LCM(448,5822) = ( 448 × 5822 ) / 2
LCM(448,5822) = 2608256 / 2
LCM(448,5822) = 1304128
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 8211/448, 4332/5822?
Answer: GCF of Numerators as per given numbers 8211/448, 4332/5822 is
GCF of Numerators i.e. for 8211,4332 is 3
LCM of denominators i.e. for 448,5822 is 1304128.
Thus, GCF of Fractions is 3/1304128.Finally, GCF of Fractions for 8211/448, 4332/5822 is 3/1304128.