Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5309/226,5064/4461
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 5309,5064
Greatest Common Factor of Numerators i.e. GCF of 5309,5064 is 1 .
LCM of Denominators means LCM of 226,4461 as per the given fractions.
LCM of 226,4461 is 1008186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5309,5064
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5309
List of positive integer factors of 5309 that divides 5309 without a remainder.
1,5309
Factors of 5064
List of positive integer factors of 5064 that divides 5064 without a remainder.
1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Greatest Common Factor
We found the factors 5309,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 5309,5064 is 1.
Lets's calculate LCM of 226,4461
Given numbers has no common factors except 1. So, there LCM is their product i.e 1008186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008186
Therefore, the GCF of Fractions 5309/226,5064/4461 is 1/1008186
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 226,4461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,4461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,4461) x common factors =1 x 1 = 1
LCM(226,4461) = ( 226 × 4461 ) / 1
LCM(226,4461) = 1008186 / 1
LCM(226,4461) = 1008186
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 5309/226, 5064/4461?
Answer: GCF of Numerators as per given numbers 5309/226, 5064/4461 is
GCF of Numerators i.e. for 5309,5064 is 1
LCM of denominators i.e. for 226,4461 is 1008186.
Thus, GCF of Fractions is 1/1008186.Finally, GCF of Fractions for 5309/226, 5064/4461 is 1/1008186.