Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 100/81,196/33,669/231
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 100,196,669
Greatest Common Factor of Numerators i.e. GCF of 100,196,669 is 1 .
LCM of Denominators means LCM of 81,33,231 as per the given fractions.
LCM of 81,33,231 is 6237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 100,196,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 100,196,669 . The biggest common factor number is the GCF number.
So the greatest common factor 100,196,669 is 1.
Lets's calculate LCM of 81,33,231
3 | 81, 33, 231 |
11 | 27, 11, 77 |
27, 1, 7 |
∴ So the LCM of the given numbers is 3 x 11 x 27 x 1 x 7 = 6237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6237
Therefore, the GCF of Fractions 100/81,196/33,669/231 is 1/6237
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 81,33,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,33,231) = 3
common factors(in case of two or more numbers have common factors) = 33
GCF(81,33,231) x common factors =3 x 33 = 99
LCM(81,33,231) = ( 81 × 33 × 231 ) / 99
LCM(81,33,231) = 617463 / 99
LCM(81,33,231) = 6237
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 100/81, 196/33, 669/231?
Answer: GCF of Numerators as per given numbers 100/81, 196/33, 669/231 is
GCF of Numerators i.e. for 100,196,669 is 1
LCM of denominators i.e. for 81,33,231 is 6237.
Thus, GCF of Fractions is 1/6237.Finally, GCF of Fractions for 100/81, 196/33, 669/231 is 1/6237.