Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/165,290/288,850/283
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 72,290,850
Greatest Common Factor of Numerators i.e. GCF of 72,290,850 is 2 .
LCM of Denominators means LCM of 165,288,283 as per the given fractions.
LCM of 165,288,283 is 4482720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,290,850
2 | 72, 290, 850 |
36, 145, 425 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 72,290,850 . The biggest common factor number is the GCF number.
So the greatest common factor 72,290,850 is 2.
Lets's calculate LCM of 165,288,283
3 | 165, 288, 283 |
55, 96, 283 |
∴ So the LCM of the given numbers is 3 x 55 x 96 x 283 = 4482720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4482720
Therefore, the GCF of Fractions 72/165,290/288,850/283 is 2/4482720
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 165,288,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,288,283) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(165,288,283) x common factors =1 x 3 = 3
LCM(165,288,283) = ( 165 × 288 × 283 ) / 3
LCM(165,288,283) = 13448160 / 3
LCM(165,288,283) = 4482720
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 72/165, 290/288, 850/283?
Answer: GCF of Numerators as per given numbers 72/165, 290/288, 850/283 is
GCF of Numerators i.e. for 72,290,850 is 2
LCM of denominators i.e. for 165,288,283 is 4482720.
Thus, GCF of Fractions is 2/4482720.Finally, GCF of Fractions for 72/165, 290/288, 850/283 is 2/4482720.