Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1280/223,8705/4196
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 1280,8705
Greatest Common Factor of Numerators i.e. GCF of 1280,8705 is 5 .
LCM of Denominators means LCM of 223,4196 as per the given fractions.
LCM of 223,4196 is 935708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1280,8705
5 | 1280, 8705 |
256, 1741 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1280
List of positive integer factors of 1280 that divides 1280 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Factors of 8705
List of positive integer factors of 8705 that divides 8705 without a remainder.
1,5,1741,8705
Greatest Common Factor
We found the factors 1280,8705 . The biggest common factor number is the GCF number.
So the greatest common factor 1280,8705 is 5.
Lets's calculate LCM of 223,4196
Given numbers has no common factors except 1. So, there LCM is their product i.e 935708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/935708
Therefore, the GCF of Fractions 1280/223,8705/4196 is 5/935708
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 223,4196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,4196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,4196) x common factors =1 x 1 = 1
LCM(223,4196) = ( 223 × 4196 ) / 1
LCM(223,4196) = 935708 / 1
LCM(223,4196) = 935708
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 1280/223, 8705/4196?
Answer: GCF of Numerators as per given numbers 1280/223, 8705/4196 is
GCF of Numerators i.e. for 1280,8705 is 5
LCM of denominators i.e. for 223,4196 is 935708.
Thus, GCF of Fractions is 5/935708.Finally, GCF of Fractions for 1280/223, 8705/4196 is 5/935708.