Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2832/140,9839/2909
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 2832,9839
Greatest Common Factor of Numerators i.e. GCF of 2832,9839 is 1 .
LCM of Denominators means LCM of 140,2909 as per the given fractions.
LCM of 140,2909 is 407260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2832,9839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2832
List of positive integer factors of 2832 that divides 2832 without a remainder.
1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Factors of 9839
List of positive integer factors of 9839 that divides 9839 without a remainder.
1,9839
Greatest Common Factor
We found the factors 2832,9839 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,9839 is 1.
Lets's calculate LCM of 140,2909
Given numbers has no common factors except 1. So, there LCM is their product i.e 407260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407260
Therefore, the GCF of Fractions 2832/140,9839/2909 is 1/407260
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 140,2909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,2909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,2909) x common factors =1 x 1 = 1
LCM(140,2909) = ( 140 × 2909 ) / 1
LCM(140,2909) = 407260 / 1
LCM(140,2909) = 407260
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 2832/140, 9839/2909?
Answer: GCF of Numerators as per given numbers 2832/140, 9839/2909 is
GCF of Numerators i.e. for 2832,9839 is 1
LCM of denominators i.e. for 140,2909 is 407260.
Thus, GCF of Fractions is 1/407260.Finally, GCF of Fractions for 2832/140, 9839/2909 is 1/407260.