Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3184/897,7629/914
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 3184,7629
Greatest Common Factor of Numerators i.e. GCF of 3184,7629 is 1 .
LCM of Denominators means LCM of 897,914 as per the given fractions.
LCM of 897,914 is 819858 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3184,7629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3184
List of positive integer factors of 3184 that divides 3184 without a remainder.
1,2,4,8,16,199,398,796,1592,3184
Factors of 7629
List of positive integer factors of 7629 that divides 7629 without a remainder.
1,3,2543,7629
Greatest Common Factor
We found the factors 3184,7629 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,7629 is 1.
Lets's calculate LCM of 897,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 819858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/819858
Therefore, the GCF of Fractions 3184/897,7629/914 is 1/819858
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 897,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,914) x common factors =1 x 1 = 1
LCM(897,914) = ( 897 × 914 ) / 1
LCM(897,914) = 819858 / 1
LCM(897,914) = 819858
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 3184/897, 7629/914?
Answer: GCF of Numerators as per given numbers 3184/897, 7629/914 is
GCF of Numerators i.e. for 3184,7629 is 1
LCM of denominators i.e. for 897,914 is 819858.
Thus, GCF of Fractions is 1/819858.Finally, GCF of Fractions for 3184/897, 7629/914 is 1/819858.