Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2308/88,8660/655
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 2308,8660
Greatest Common Factor of Numerators i.e. GCF of 2308,8660 is 4 .
LCM of Denominators means LCM of 88,655 as per the given fractions.
LCM of 88,655 is 57640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2308,8660
2 | 2308, 8660 |
2 | 1154, 4330 |
577, 2165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2308
List of positive integer factors of 2308 that divides 2308 without a remainder.
1,2,4,577,1154,2308
Factors of 8660
List of positive integer factors of 8660 that divides 8660 without a remainder.
1,2,4,5,10,20,433,866,1732,2165,4330,8660
Greatest Common Factor
We found the factors 2308,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 2308,8660 is 4.
Lets's calculate LCM of 88,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 57640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57640
Therefore, the GCF of Fractions 2308/88,8660/655 is 4/57640
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 88,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,655) x common factors =1 x 1 = 1
LCM(88,655) = ( 88 × 655 ) / 1
LCM(88,655) = 57640 / 1
LCM(88,655) = 57640
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 2308/88, 8660/655?
Answer: GCF of Numerators as per given numbers 2308/88, 8660/655 is
GCF of Numerators i.e. for 2308,8660 is 4
LCM of denominators i.e. for 88,655 is 57640.
Thus, GCF of Fractions is 4/57640.Finally, GCF of Fractions for 2308/88, 8660/655 is 4/57640.