Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 345/309,8211/272
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 345,8211
Greatest Common Factor of Numerators i.e. GCF of 345,8211 is 69 .
LCM of Denominators means LCM of 309,272 as per the given fractions.
LCM of 309,272 is 84048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 345,8211
3 | 345, 8211 |
23 | 115, 2737 |
5, 119 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 345,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 345,8211 is 69.
Lets's calculate LCM of 309,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 84048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/84048
Therefore, the GCF of Fractions 345/309,8211/272 is 69/84048
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 309,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,272) x common factors =1 x 1 = 1
LCM(309,272) = ( 309 × 272 ) / 1
LCM(309,272) = 84048 / 1
LCM(309,272) = 84048
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 345/309, 8211/272?
Answer: GCF of Numerators as per given numbers 345/309, 8211/272 is
GCF of Numerators i.e. for 345,8211 is 69
LCM of denominators i.e. for 309,272 is 84048.
Thus, GCF of Fractions is 69/84048.Finally, GCF of Fractions for 345/309, 8211/272 is 69/84048.