Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8085/440,6160/5609
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 8085,6160
Greatest Common Factor of Numerators i.e. GCF of 8085,6160 is 385 .
LCM of Denominators means LCM of 440,5609 as per the given fractions.
LCM of 440,5609 is 2467960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8085,6160
5 | 8085, 6160 |
7 | 1617, 1232 |
11 | 231, 176 |
21, 16 |
∴ So the GCF of the given numbers is 5 x 7 x 11 = 385
Factors of 8085
List of positive integer factors of 8085 that divides 8085 without a remainder.
1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085
Factors of 6160
List of positive integer factors of 6160 that divides 6160 without a remainder.
1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 8085,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 8085,6160 is 385.
Lets's calculate LCM of 440,5609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2467960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 385/2467960
Therefore, the GCF of Fractions 8085/440,6160/5609 is 385/2467960
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 440,5609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,5609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,5609) x common factors =1 x 1 = 1
LCM(440,5609) = ( 440 × 5609 ) / 1
LCM(440,5609) = 2467960 / 1
LCM(440,5609) = 2467960
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 8085/440, 6160/5609?
Answer: GCF of Numerators as per given numbers 8085/440, 6160/5609 is
GCF of Numerators i.e. for 8085,6160 is 385
LCM of denominators i.e. for 440,5609 is 2467960.
Thus, GCF of Fractions is 385/2467960.Finally, GCF of Fractions for 8085/440, 6160/5609 is 385/2467960.