Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6699/99,8051/707
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 6699,8051
Greatest Common Factor of Numerators i.e. GCF of 6699,8051 is 1 .
LCM of Denominators means LCM of 99,707 as per the given fractions.
LCM of 99,707 is 69993 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6699,8051
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6699
List of positive integer factors of 6699 that divides 6699 without a remainder.
1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699
Factors of 8051
List of positive integer factors of 8051 that divides 8051 without a remainder.
1,83,97,8051
Greatest Common Factor
We found the factors 6699,8051 . The biggest common factor number is the GCF number.
So the greatest common factor 6699,8051 is 1.
Lets's calculate LCM of 99,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 69993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69993
Therefore, the GCF of Fractions 6699/99,8051/707 is 1/69993
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 99,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,707) x common factors =1 x 1 = 1
LCM(99,707) = ( 99 × 707 ) / 1
LCM(99,707) = 69993 / 1
LCM(99,707) = 69993
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 6699/99, 8051/707?
Answer: GCF of Numerators as per given numbers 6699/99, 8051/707 is
GCF of Numerators i.e. for 6699,8051 is 1
LCM of denominators i.e. for 99,707 is 69993.
Thus, GCF of Fractions is 1/69993.Finally, GCF of Fractions for 6699/99, 8051/707 is 1/69993.