Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/81,29/69,682/148
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 38,29,682
Greatest Common Factor of Numerators i.e. GCF of 38,29,682 is 1 .
LCM of Denominators means LCM of 81,69,148 as per the given fractions.
LCM of 81,69,148 is 275724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,29,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 38,29,682 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,682 is 1.
Lets's calculate LCM of 81,69,148
3 | 81, 69, 148 |
27, 23, 148 |
∴ So the LCM of the given numbers is 3 x 27 x 23 x 148 = 275724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275724
Therefore, the GCF of Fractions 38/81,29/69,682/148 is 1/275724
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 81,69,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,69,148) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(81,69,148) x common factors =1 x 3 = 3
LCM(81,69,148) = ( 81 × 69 × 148 ) / 3
LCM(81,69,148) = 827172 / 3
LCM(81,69,148) = 275724
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 38/81, 29/69, 682/148?
Answer: GCF of Numerators as per given numbers 38/81, 29/69, 682/148 is
GCF of Numerators i.e. for 38,29,682 is 1
LCM of denominators i.e. for 81,69,148 is 275724.
Thus, GCF of Fractions is 1/275724.Finally, GCF of Fractions for 38/81, 29/69, 682/148 is 1/275724.