Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6091/601,1253/7299
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 6091,1253
Greatest Common Factor of Numerators i.e. GCF of 6091,1253 is 1 .
LCM of Denominators means LCM of 601,7299 as per the given fractions.
LCM of 601,7299 is 4386699 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6091,1253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6091
List of positive integer factors of 6091 that divides 6091 without a remainder.
1,6091
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Greatest Common Factor
We found the factors 6091,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 6091,1253 is 1.
Lets's calculate LCM of 601,7299
Given numbers has no common factors except 1. So, there LCM is their product i.e 4386699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4386699
Therefore, the GCF of Fractions 6091/601,1253/7299 is 1/4386699
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 601,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,7299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,7299) x common factors =1 x 1 = 1
LCM(601,7299) = ( 601 × 7299 ) / 1
LCM(601,7299) = 4386699 / 1
LCM(601,7299) = 4386699
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 6091/601, 1253/7299?
Answer: GCF of Numerators as per given numbers 6091/601, 1253/7299 is
GCF of Numerators i.e. for 6091,1253 is 1
LCM of denominators i.e. for 601,7299 is 4386699.
Thus, GCF of Fractions is 1/4386699.Finally, GCF of Fractions for 6091/601, 1253/7299 is 1/4386699.