Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4483/391,5420/785
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 4483,5420
Greatest Common Factor of Numerators i.e. GCF of 4483,5420 is 1 .
LCM of Denominators means LCM of 391,785 as per the given fractions.
LCM of 391,785 is 306935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4483,5420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4483
List of positive integer factors of 4483 that divides 4483 without a remainder.
1,4483
Factors of 5420
List of positive integer factors of 5420 that divides 5420 without a remainder.
1,2,4,5,10,20,271,542,1084,1355,2710,5420
Greatest Common Factor
We found the factors 4483,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 4483,5420 is 1.
Lets's calculate LCM of 391,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 306935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306935
Therefore, the GCF of Fractions 4483/391,5420/785 is 1/306935
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 391,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,785) x common factors =1 x 1 = 1
LCM(391,785) = ( 391 × 785 ) / 1
LCM(391,785) = 306935 / 1
LCM(391,785) = 306935
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 4483/391, 5420/785?
Answer: GCF of Numerators as per given numbers 4483/391, 5420/785 is
GCF of Numerators i.e. for 4483,5420 is 1
LCM of denominators i.e. for 391,785 is 306935.
Thus, GCF of Fractions is 1/306935.Finally, GCF of Fractions for 4483/391, 5420/785 is 1/306935.