Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/84,65/76,237/81
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 29,65,237
Greatest Common Factor of Numerators i.e. GCF of 29,65,237 is 1 .
LCM of Denominators means LCM of 84,76,81 as per the given fractions.
LCM of 84,76,81 is 43092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,65,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 29,65,237 . The biggest common factor number is the GCF number.
So the greatest common factor 29,65,237 is 1.
Lets's calculate LCM of 84,76,81
2 | 84, 76, 81 |
2 | 42, 38, 81 |
3 | 21, 19, 81 |
7, 19, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 27 = 43092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43092
Therefore, the GCF of Fractions 29/84,65/76,237/81 is 1/43092
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 84,76,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,76,81) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(84,76,81) x common factors =1 x 12 = 12
LCM(84,76,81) = ( 84 × 76 × 81 ) / 12
LCM(84,76,81) = 517104 / 12
LCM(84,76,81) = 43092
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 29/84, 65/76, 237/81?
Answer: GCF of Numerators as per given numbers 29/84, 65/76, 237/81 is
GCF of Numerators i.e. for 29,65,237 is 1
LCM of denominators i.e. for 84,76,81 is 43092.
Thus, GCF of Fractions is 1/43092.Finally, GCF of Fractions for 29/84, 65/76, 237/81 is 1/43092.