Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9935/82,7426/229
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 9935,7426
Greatest Common Factor of Numerators i.e. GCF of 9935,7426 is 1 .
LCM of Denominators means LCM of 82,229 as per the given fractions.
LCM of 82,229 is 18778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9935,7426
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9935
List of positive integer factors of 9935 that divides 9935 without a remainder.
1,5,1987,9935
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 9935,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 9935,7426 is 1.
Lets's calculate LCM of 82,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 18778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18778
Therefore, the GCF of Fractions 9935/82,7426/229 is 1/18778
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 82,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,229) x common factors =1 x 1 = 1
LCM(82,229) = ( 82 × 229 ) / 1
LCM(82,229) = 18778 / 1
LCM(82,229) = 18778
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 9935/82, 7426/229?
Answer: GCF of Numerators as per given numbers 9935/82, 7426/229 is
GCF of Numerators i.e. for 9935,7426 is 1
LCM of denominators i.e. for 82,229 is 18778.
Thus, GCF of Fractions is 1/18778.Finally, GCF of Fractions for 9935/82, 7426/229 is 1/18778.