Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6859/373,4969/3152
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 6859,4969
Greatest Common Factor of Numerators i.e. GCF of 6859,4969 is 1 .
LCM of Denominators means LCM of 373,3152 as per the given fractions.
LCM of 373,3152 is 1175696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6859,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6859
List of positive integer factors of 6859 that divides 6859 without a remainder.
1,19,361,6859
Factors of 4969
List of positive integer factors of 4969 that divides 4969 without a remainder.
1,4969
Greatest Common Factor
We found the factors 6859,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 6859,4969 is 1.
Lets's calculate LCM of 373,3152
Given numbers has no common factors except 1. So, there LCM is their product i.e 1175696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175696
Therefore, the GCF of Fractions 6859/373,4969/3152 is 1/1175696
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 373,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,3152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,3152) x common factors =1 x 1 = 1
LCM(373,3152) = ( 373 × 3152 ) / 1
LCM(373,3152) = 1175696 / 1
LCM(373,3152) = 1175696
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 6859/373, 4969/3152?
Answer: GCF of Numerators as per given numbers 6859/373, 4969/3152 is
GCF of Numerators i.e. for 6859,4969 is 1
LCM of denominators i.e. for 373,3152 is 1175696.
Thus, GCF of Fractions is 1/1175696.Finally, GCF of Fractions for 6859/373, 4969/3152 is 1/1175696.