Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9689/82,6891/685
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 9689,6891
Greatest Common Factor of Numerators i.e. GCF of 9689,6891 is 1 .
LCM of Denominators means LCM of 82,685 as per the given fractions.
LCM of 82,685 is 56170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9689,6891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9689
List of positive integer factors of 9689 that divides 9689 without a remainder.
1,9689
Factors of 6891
List of positive integer factors of 6891 that divides 6891 without a remainder.
1,3,2297,6891
Greatest Common Factor
We found the factors 9689,6891 . The biggest common factor number is the GCF number.
So the greatest common factor 9689,6891 is 1.
Lets's calculate LCM of 82,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 56170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56170
Therefore, the GCF of Fractions 9689/82,6891/685 is 1/56170
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 82,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,685) x common factors =1 x 1 = 1
LCM(82,685) = ( 82 × 685 ) / 1
LCM(82,685) = 56170 / 1
LCM(82,685) = 56170
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 9689/82, 6891/685?
Answer: GCF of Numerators as per given numbers 9689/82, 6891/685 is
GCF of Numerators i.e. for 9689,6891 is 1
LCM of denominators i.e. for 82,685 is 56170.
Thus, GCF of Fractions is 1/56170.Finally, GCF of Fractions for 9689/82, 6891/685 is 1/56170.