Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5191/83,9697/718
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 5191,9697
Greatest Common Factor of Numerators i.e. GCF of 5191,9697 is 1 .
LCM of Denominators means LCM of 83,718 as per the given fractions.
LCM of 83,718 is 59594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5191,9697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5191
List of positive integer factors of 5191 that divides 5191 without a remainder.
1,29,179,5191
Factors of 9697
List of positive integer factors of 9697 that divides 9697 without a remainder.
1,9697
Greatest Common Factor
We found the factors 5191,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 5191,9697 is 1.
Lets's calculate LCM of 83,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 59594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59594
Therefore, the GCF of Fractions 5191/83,9697/718 is 1/59594
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 83,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,718) x common factors =1 x 1 = 1
LCM(83,718) = ( 83 × 718 ) / 1
LCM(83,718) = 59594 / 1
LCM(83,718) = 59594
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 5191/83, 9697/718?
Answer: GCF of Numerators as per given numbers 5191/83, 9697/718 is
GCF of Numerators i.e. for 5191,9697 is 1
LCM of denominators i.e. for 83,718 is 59594.
Thus, GCF of Fractions is 1/59594.Finally, GCF of Fractions for 5191/83, 9697/718 is 1/59594.