Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9829/106,2125/139
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 9829,2125
Greatest Common Factor of Numerators i.e. GCF of 9829,2125 is 1 .
LCM of Denominators means LCM of 106,139 as per the given fractions.
LCM of 106,139 is 14734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9829,2125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9829
List of positive integer factors of 9829 that divides 9829 without a remainder.
1,9829
Factors of 2125
List of positive integer factors of 2125 that divides 2125 without a remainder.
1,5,17,25,85,125,425,2125
Greatest Common Factor
We found the factors 9829,2125 . The biggest common factor number is the GCF number.
So the greatest common factor 9829,2125 is 1.
Lets's calculate LCM of 106,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 14734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14734
Therefore, the GCF of Fractions 9829/106,2125/139 is 1/14734
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 106,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,139) x common factors =1 x 1 = 1
LCM(106,139) = ( 106 × 139 ) / 1
LCM(106,139) = 14734 / 1
LCM(106,139) = 14734
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 9829/106, 2125/139?
Answer: GCF of Numerators as per given numbers 9829/106, 2125/139 is
GCF of Numerators i.e. for 9829,2125 is 1
LCM of denominators i.e. for 106,139 is 14734.
Thus, GCF of Fractions is 1/14734.Finally, GCF of Fractions for 9829/106, 2125/139 is 1/14734.