Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4211/33,5579/252
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 4211,5579
Greatest Common Factor of Numerators i.e. GCF of 4211,5579 is 1 .
LCM of Denominators means LCM of 33,252 as per the given fractions.
LCM of 33,252 is 2772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4211,5579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4211
List of positive integer factors of 4211 that divides 4211 without a remainder.
1,4211
Factors of 5579
List of positive integer factors of 5579 that divides 5579 without a remainder.
1,7,797,5579
Greatest Common Factor
We found the factors 4211,5579 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,5579 is 1.
Lets's calculate LCM of 33,252
3 | 33, 252 |
11, 84 |
∴ So the LCM of the given numbers is 3 x 11 x 84 = 2772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772
Therefore, the GCF of Fractions 4211/33,5579/252 is 1/2772
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 33,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,252) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,252) x common factors =3 x 1 = 3
LCM(33,252) = ( 33 × 252 ) / 3
LCM(33,252) = 8316 / 3
LCM(33,252) = 2772
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 4211/33, 5579/252?
Answer: GCF of Numerators as per given numbers 4211/33, 5579/252 is
GCF of Numerators i.e. for 4211,5579 is 1
LCM of denominators i.e. for 33,252 is 2772.
Thus, GCF of Fractions is 1/2772.Finally, GCF of Fractions for 4211/33, 5579/252 is 1/2772.