Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9678/111,6097/110
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 9678,6097
Greatest Common Factor of Numerators i.e. GCF of 9678,6097 is 1 .
LCM of Denominators means LCM of 111,110 as per the given fractions.
LCM of 111,110 is 12210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9678,6097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9678
List of positive integer factors of 9678 that divides 9678 without a remainder.
1,2,3,6,1613,3226,4839,9678
Factors of 6097
List of positive integer factors of 6097 that divides 6097 without a remainder.
1,7,13,67,91,469,871,6097
Greatest Common Factor
We found the factors 9678,6097 . The biggest common factor number is the GCF number.
So the greatest common factor 9678,6097 is 1.
Lets's calculate LCM of 111,110
Given numbers has no common factors except 1. So, there LCM is their product i.e 12210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12210
Therefore, the GCF of Fractions 9678/111,6097/110 is 1/12210
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 111,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,110) x common factors =1 x 1 = 1
LCM(111,110) = ( 111 × 110 ) / 1
LCM(111,110) = 12210 / 1
LCM(111,110) = 12210
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 9678/111, 6097/110?
Answer: GCF of Numerators as per given numbers 9678/111, 6097/110 is
GCF of Numerators i.e. for 9678,6097 is 1
LCM of denominators i.e. for 111,110 is 12210.
Thus, GCF of Fractions is 1/12210.Finally, GCF of Fractions for 9678/111, 6097/110 is 1/12210.