Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/840,127/150,182/876
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 387,127,182
Greatest Common Factor of Numerators i.e. GCF of 387,127,182 is 1 .
LCM of Denominators means LCM of 840,150,876 as per the given fractions.
LCM of 840,150,876 is 306600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 387,127,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 387,127,182 . The biggest common factor number is the GCF number.
So the greatest common factor 387,127,182 is 1.
Lets's calculate LCM of 840,150,876
2 | 840, 150, 876 |
2 | 420, 75, 438 |
3 | 210, 75, 219 |
5 | 70, 25, 73 |
14, 5, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 14 x 5 x 73 = 306600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306600
Therefore, the GCF of Fractions 387/840,127/150,182/876 is 1/306600
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 840,150,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,150,876) = 6
common factors(in case of two or more numbers have common factors) = 60
GCF(840,150,876) x common factors =6 x 60 = 360
LCM(840,150,876) = ( 840 × 150 × 876 ) / 360
LCM(840,150,876) = 110376000 / 360
LCM(840,150,876) = 306600
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 387/840, 127/150, 182/876?
Answer: GCF of Numerators as per given numbers 387/840, 127/150, 182/876 is
GCF of Numerators i.e. for 387,127,182 is 1
LCM of denominators i.e. for 840,150,876 is 306600.
Thus, GCF of Fractions is 1/306600.Finally, GCF of Fractions for 387/840, 127/150, 182/876 is 1/306600.