Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7669/32,3105/174
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 7669,3105
Greatest Common Factor of Numerators i.e. GCF of 7669,3105 is 1 .
LCM of Denominators means LCM of 32,174 as per the given fractions.
LCM of 32,174 is 2784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7669,3105
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7669
List of positive integer factors of 7669 that divides 7669 without a remainder.
1,7669
Factors of 3105
List of positive integer factors of 3105 that divides 3105 without a remainder.
1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Greatest Common Factor
We found the factors 7669,3105 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,3105 is 1.
Lets's calculate LCM of 32,174
2 | 32, 174 |
16, 87 |
∴ So the LCM of the given numbers is 2 x 16 x 87 = 2784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2784
Therefore, the GCF of Fractions 7669/32,3105/174 is 1/2784
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 32,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,174) x common factors =2 x 1 = 2
LCM(32,174) = ( 32 × 174 ) / 2
LCM(32,174) = 5568 / 2
LCM(32,174) = 2784
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 7669/32, 3105/174?
Answer: GCF of Numerators as per given numbers 7669/32, 3105/174 is
GCF of Numerators i.e. for 7669,3105 is 1
LCM of denominators i.e. for 32,174 is 2784.
Thus, GCF of Fractions is 1/2784.Finally, GCF of Fractions for 7669/32, 3105/174 is 1/2784.