Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2163/991,8935/766
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 2163,8935
Greatest Common Factor of Numerators i.e. GCF of 2163,8935 is 1 .
LCM of Denominators means LCM of 991,766 as per the given fractions.
LCM of 991,766 is 759106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2163,8935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1,3,7,21,103,309,721,2163
Factors of 8935
List of positive integer factors of 8935 that divides 8935 without a remainder.
1,5,1787,8935
Greatest Common Factor
We found the factors 2163,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 2163,8935 is 1.
Lets's calculate LCM of 991,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 759106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759106
Therefore, the GCF of Fractions 2163/991,8935/766 is 1/759106
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 991,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,766) x common factors =1 x 1 = 1
LCM(991,766) = ( 991 × 766 ) / 1
LCM(991,766) = 759106 / 1
LCM(991,766) = 759106
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 2163/991, 8935/766?
Answer: GCF of Numerators as per given numbers 2163/991, 8935/766 is
GCF of Numerators i.e. for 2163,8935 is 1
LCM of denominators i.e. for 991,766 is 759106.
Thus, GCF of Fractions is 1/759106.Finally, GCF of Fractions for 2163/991, 8935/766 is 1/759106.