Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/135,3160/8830
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 23,3160
Greatest Common Factor of Numerators i.e. GCF of 23,3160 is 1 .
LCM of Denominators means LCM of 135,8830 as per the given fractions.
LCM of 135,8830 is 238410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,3160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 3160
List of positive integer factors of 3160 that divides 3160 without a remainder.
1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 23,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 23,3160 is 1.
Lets's calculate LCM of 135,8830
5 | 135, 8830 |
27, 1766 |
∴ So the LCM of the given numbers is 5 x 27 x 1766 = 238410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238410
Therefore, the GCF of Fractions 23/135,3160/8830 is 1/238410
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 135,8830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,8830) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,8830) x common factors =5 x 1 = 5
LCM(135,8830) = ( 135 × 8830 ) / 5
LCM(135,8830) = 1192050 / 5
LCM(135,8830) = 238410
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 23/135, 3160/8830?
Answer: GCF of Numerators as per given numbers 23/135, 3160/8830 is
GCF of Numerators i.e. for 23,3160 is 1
LCM of denominators i.e. for 135,8830 is 238410.
Thus, GCF of Fractions is 1/238410.Finally, GCF of Fractions for 23/135, 3160/8830 is 1/238410.