Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/629,542/324,228/645
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 867,542,228
Greatest Common Factor of Numerators i.e. GCF of 867,542,228 is 1 .
LCM of Denominators means LCM of 629,324,645 as per the given fractions.
LCM of 629,324,645 is 43816140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 867,542,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 867,542,228 . The biggest common factor number is the GCF number.
So the greatest common factor 867,542,228 is 1.
Lets's calculate LCM of 629,324,645
3 | 629, 324, 645 |
629, 108, 215 |
∴ So the LCM of the given numbers is 3 x 629 x 108 x 215 = 43816140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43816140
Therefore, the GCF of Fractions 867/629,542/324,228/645 is 1/43816140
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 629,324,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,324,645) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(629,324,645) x common factors =1 x 3 = 3
LCM(629,324,645) = ( 629 × 324 × 645 ) / 3
LCM(629,324,645) = 131448420 / 3
LCM(629,324,645) = 43816140
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 867/629, 542/324, 228/645?
Answer: GCF of Numerators as per given numbers 867/629, 542/324, 228/645 is
GCF of Numerators i.e. for 867,542,228 is 1
LCM of denominators i.e. for 629,324,645 is 43816140.
Thus, GCF of Fractions is 1/43816140.Finally, GCF of Fractions for 867/629, 542/324, 228/645 is 1/43816140.