Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4909/67,1395/258
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 4909,1395
Greatest Common Factor of Numerators i.e. GCF of 4909,1395 is 1 .
LCM of Denominators means LCM of 67,258 as per the given fractions.
LCM of 67,258 is 17286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4909,1395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4909
List of positive integer factors of 4909 that divides 4909 without a remainder.
1,4909
Factors of 1395
List of positive integer factors of 1395 that divides 1395 without a remainder.
1,3,5,9,15,31,45,93,155,279,465,1395
Greatest Common Factor
We found the factors 4909,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,1395 is 1.
Lets's calculate LCM of 67,258
Given numbers has no common factors except 1. So, there LCM is their product i.e 17286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17286
Therefore, the GCF of Fractions 4909/67,1395/258 is 1/17286
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 67,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,258) x common factors =1 x 1 = 1
LCM(67,258) = ( 67 × 258 ) / 1
LCM(67,258) = 17286 / 1
LCM(67,258) = 17286
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 4909/67, 1395/258?
Answer: GCF of Numerators as per given numbers 4909/67, 1395/258 is
GCF of Numerators i.e. for 4909,1395 is 1
LCM of denominators i.e. for 67,258 is 17286.
Thus, GCF of Fractions is 1/17286.Finally, GCF of Fractions for 4909/67, 1395/258 is 1/17286.