Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/20,569/66,149/378
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 815,569,149
Greatest Common Factor of Numerators i.e. GCF of 815,569,149 is 1 .
LCM of Denominators means LCM of 20,66,378 as per the given fractions.
LCM of 20,66,378 is 41580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,569,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 815,569,149 . The biggest common factor number is the GCF number.
So the greatest common factor 815,569,149 is 1.
Lets's calculate LCM of 20,66,378
2 | 20, 66, 378 |
3 | 10, 33, 189 |
10, 11, 63 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 11 x 63 = 41580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41580
Therefore, the GCF of Fractions 815/20,569/66,149/378 is 1/41580
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 20,66,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,66,378) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(20,66,378) x common factors =2 x 6 = 12
LCM(20,66,378) = ( 20 × 66 × 378 ) / 12
LCM(20,66,378) = 498960 / 12
LCM(20,66,378) = 41580
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 815/20, 569/66, 149/378?
Answer: GCF of Numerators as per given numbers 815/20, 569/66, 149/378 is
GCF of Numerators i.e. for 815,569,149 is 1
LCM of denominators i.e. for 20,66,378 is 41580.
Thus, GCF of Fractions is 1/41580.Finally, GCF of Fractions for 815/20, 569/66, 149/378 is 1/41580.