Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 800/43,599/24,498/867
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 800,599,498
Greatest Common Factor of Numerators i.e. GCF of 800,599,498 is 1 .
LCM of Denominators means LCM of 43,24,867 as per the given fractions.
LCM of 43,24,867 is 298248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 800,599,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 800,599,498 . The biggest common factor number is the GCF number.
So the greatest common factor 800,599,498 is 1.
Lets's calculate LCM of 43,24,867
3 | 43, 24, 867 |
43, 8, 289 |
∴ So the LCM of the given numbers is 3 x 43 x 8 x 289 = 298248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298248
Therefore, the GCF of Fractions 800/43,599/24,498/867 is 1/298248
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 43,24,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,24,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,24,867) x common factors =1 x 3 = 3
LCM(43,24,867) = ( 43 × 24 × 867 ) / 3
LCM(43,24,867) = 894744 / 3
LCM(43,24,867) = 298248
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 800/43, 599/24, 498/867?
Answer: GCF of Numerators as per given numbers 800/43, 599/24, 498/867 is
GCF of Numerators i.e. for 800,599,498 is 1
LCM of denominators i.e. for 43,24,867 is 298248.
Thus, GCF of Fractions is 1/298248.Finally, GCF of Fractions for 800/43, 599/24, 498/867 is 1/298248.