Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5452/383,5919/3789
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 5452,5919
Greatest Common Factor of Numerators i.e. GCF of 5452,5919 is 1 .
LCM of Denominators means LCM of 383,3789 as per the given fractions.
LCM of 383,3789 is 1451187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5452,5919
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5452
List of positive integer factors of 5452 that divides 5452 without a remainder.
1,2,4,29,47,58,94,116,188,1363,2726,5452
Factors of 5919
List of positive integer factors of 5919 that divides 5919 without a remainder.
1,3,1973,5919
Greatest Common Factor
We found the factors 5452,5919 . The biggest common factor number is the GCF number.
So the greatest common factor 5452,5919 is 1.
Lets's calculate LCM of 383,3789
Given numbers has no common factors except 1. So, there LCM is their product i.e 1451187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1451187
Therefore, the GCF of Fractions 5452/383,5919/3789 is 1/1451187
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 383,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3789) x common factors =1 x 1 = 1
LCM(383,3789) = ( 383 × 3789 ) / 1
LCM(383,3789) = 1451187 / 1
LCM(383,3789) = 1451187
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 5452/383, 5919/3789?
Answer: GCF of Numerators as per given numbers 5452/383, 5919/3789 is
GCF of Numerators i.e. for 5452,5919 is 1
LCM of denominators i.e. for 383,3789 is 1451187.
Thus, GCF of Fractions is 1/1451187.Finally, GCF of Fractions for 5452/383, 5919/3789 is 1/1451187.