Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2685/69,5695/794
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 2685,5695
Greatest Common Factor of Numerators i.e. GCF of 2685,5695 is 5 .
LCM of Denominators means LCM of 69,794 as per the given fractions.
LCM of 69,794 is 54786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2685,5695
5 | 2685, 5695 |
537, 1139 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2685
List of positive integer factors of 2685 that divides 2685 without a remainder.
1,3,5,15,179,537,895,2685
Factors of 5695
List of positive integer factors of 5695 that divides 5695 without a remainder.
1,5,17,67,85,335,1139,5695
Greatest Common Factor
We found the factors 2685,5695 . The biggest common factor number is the GCF number.
So the greatest common factor 2685,5695 is 5.
Lets's calculate LCM of 69,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 54786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/54786
Therefore, the GCF of Fractions 2685/69,5695/794 is 5/54786
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 69,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,794) x common factors =1 x 1 = 1
LCM(69,794) = ( 69 × 794 ) / 1
LCM(69,794) = 54786 / 1
LCM(69,794) = 54786
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 2685/69, 5695/794?
Answer: GCF of Numerators as per given numbers 2685/69, 5695/794 is
GCF of Numerators i.e. for 2685,5695 is 5
LCM of denominators i.e. for 69,794 is 54786.
Thus, GCF of Fractions is 5/54786.Finally, GCF of Fractions for 2685/69, 5695/794 is 5/54786.