Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8726/991,9385/6668
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 8726,9385
Greatest Common Factor of Numerators i.e. GCF of 8726,9385 is 1 .
LCM of Denominators means LCM of 991,6668 as per the given fractions.
LCM of 991,6668 is 6607988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8726,9385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1,2,4363,8726
Factors of 9385
List of positive integer factors of 9385 that divides 9385 without a remainder.
1,5,1877,9385
Greatest Common Factor
We found the factors 8726,9385 . The biggest common factor number is the GCF number.
So the greatest common factor 8726,9385 is 1.
Lets's calculate LCM of 991,6668
Given numbers has no common factors except 1. So, there LCM is their product i.e 6607988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6607988
Therefore, the GCF of Fractions 8726/991,9385/6668 is 1/6607988
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 991,6668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,6668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,6668) x common factors =1 x 1 = 1
LCM(991,6668) = ( 991 × 6668 ) / 1
LCM(991,6668) = 6607988 / 1
LCM(991,6668) = 6607988
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 8726/991, 9385/6668?
Answer: GCF of Numerators as per given numbers 8726/991, 9385/6668 is
GCF of Numerators i.e. for 8726,9385 is 1
LCM of denominators i.e. for 991,6668 is 6607988.
Thus, GCF of Fractions is 1/6607988.Finally, GCF of Fractions for 8726/991, 9385/6668 is 1/6607988.