Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 269/81,685/36,401/84
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 269,685,401
Greatest Common Factor of Numerators i.e. GCF of 269,685,401 is 1 .
LCM of Denominators means LCM of 81,36,84 as per the given fractions.
LCM of 81,36,84 is 2268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 269,685,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 269,685,401 . The biggest common factor number is the GCF number.
So the greatest common factor 269,685,401 is 1.
Lets's calculate LCM of 81,36,84
2 | 81, 36, 84 |
2 | 81, 18, 42 |
3 | 81, 9, 21 |
3 | 27, 3, 7 |
9, 1, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 1 x 7 = 2268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268
Therefore, the GCF of Fractions 269/81,685/36,401/84 is 1/2268
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 81,36,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,36,84) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(81,36,84) x common factors =3 x 36 = 108
LCM(81,36,84) = ( 81 × 36 × 84 ) / 108
LCM(81,36,84) = 244944 / 108
LCM(81,36,84) = 2268
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 269/81, 685/36, 401/84?
Answer: GCF of Numerators as per given numbers 269/81, 685/36, 401/84 is
GCF of Numerators i.e. for 269,685,401 is 1
LCM of denominators i.e. for 81,36,84 is 2268.
Thus, GCF of Fractions is 1/2268.Finally, GCF of Fractions for 269/81, 685/36, 401/84 is 1/2268.