Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 609/730,1308/230
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 609,1308
Greatest Common Factor of Numerators i.e. GCF of 609,1308 is 3 .
LCM of Denominators means LCM of 730,230 as per the given fractions.
LCM of 730,230 is 16790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 609,1308
3 | 609, 1308 |
203, 436 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 1308
List of positive integer factors of 1308 that divides 1308 without a remainder.
1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 609,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 609,1308 is 3.
Lets's calculate LCM of 730,230
2 | 730, 230 |
5 | 365, 115 |
73, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 73 x 23 = 16790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16790
Therefore, the GCF of Fractions 609/730,1308/230 is 3/16790
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 730,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,230) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(730,230) x common factors =10 x 1 = 10
LCM(730,230) = ( 730 × 230 ) / 10
LCM(730,230) = 167900 / 10
LCM(730,230) = 16790
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 609/730, 1308/230?
Answer: GCF of Numerators as per given numbers 609/730, 1308/230 is
GCF of Numerators i.e. for 609,1308 is 3
LCM of denominators i.e. for 730,230 is 16790.
Thus, GCF of Fractions is 3/16790.Finally, GCF of Fractions for 609/730, 1308/230 is 3/16790.