Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 500/83,390/75,444/40
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 500,390,444
Greatest Common Factor of Numerators i.e. GCF of 500,390,444 is 2 .
LCM of Denominators means LCM of 83,75,40 as per the given fractions.
LCM of 83,75,40 is 49800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 500,390,444
2 | 500, 390, 444 |
250, 195, 222 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 500,390,444 . The biggest common factor number is the GCF number.
So the greatest common factor 500,390,444 is 2.
Lets's calculate LCM of 83,75,40
5 | 83, 75, 40 |
83, 15, 8 |
∴ So the LCM of the given numbers is 5 x 83 x 15 x 8 = 49800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49800
Therefore, the GCF of Fractions 500/83,390/75,444/40 is 2/49800
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 83,75,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,75,40) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(83,75,40) x common factors =1 x 5 = 5
LCM(83,75,40) = ( 83 × 75 × 40 ) / 5
LCM(83,75,40) = 249000 / 5
LCM(83,75,40) = 49800
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 500/83, 390/75, 444/40?
Answer: GCF of Numerators as per given numbers 500/83, 390/75, 444/40 is
GCF of Numerators i.e. for 500,390,444 is 2
LCM of denominators i.e. for 83,75,40 is 49800.
Thus, GCF of Fractions is 2/49800.Finally, GCF of Fractions for 500/83, 390/75, 444/40 is 2/49800.