Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3389/745,5227/5137
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 3389,5227
Greatest Common Factor of Numerators i.e. GCF of 3389,5227 is 1 .
LCM of Denominators means LCM of 745,5137 as per the given fractions.
LCM of 745,5137 is 3827065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3389,5227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3389
List of positive integer factors of 3389 that divides 3389 without a remainder.
1,3389
Factors of 5227
List of positive integer factors of 5227 that divides 5227 without a remainder.
1,5227
Greatest Common Factor
We found the factors 3389,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 3389,5227 is 1.
Lets's calculate LCM of 745,5137
Given numbers has no common factors except 1. So, there LCM is their product i.e 3827065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3827065
Therefore, the GCF of Fractions 3389/745,5227/5137 is 1/3827065
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 745,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,5137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,5137) x common factors =1 x 1 = 1
LCM(745,5137) = ( 745 × 5137 ) / 1
LCM(745,5137) = 3827065 / 1
LCM(745,5137) = 3827065
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 3389/745, 5227/5137?
Answer: GCF of Numerators as per given numbers 3389/745, 5227/5137 is
GCF of Numerators i.e. for 3389,5227 is 1
LCM of denominators i.e. for 745,5137 is 3827065.
Thus, GCF of Fractions is 1/3827065.Finally, GCF of Fractions for 3389/745, 5227/5137 is 1/3827065.