Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6383/112,5075/9819
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 6383,5075
Greatest Common Factor of Numerators i.e. GCF of 6383,5075 is 1 .
LCM of Denominators means LCM of 112,9819 as per the given fractions.
LCM of 112,9819 is 1099728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6383,5075
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6383
List of positive integer factors of 6383 that divides 6383 without a remainder.
1,13,491,6383
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1,5,7,25,29,35,145,175,203,725,1015,5075
Greatest Common Factor
We found the factors 6383,5075 . The biggest common factor number is the GCF number.
So the greatest common factor 6383,5075 is 1.
Lets's calculate LCM of 112,9819
Given numbers has no common factors except 1. So, there LCM is their product i.e 1099728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1099728
Therefore, the GCF of Fractions 6383/112,5075/9819 is 1/1099728
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 112,9819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,9819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,9819) x common factors =1 x 1 = 1
LCM(112,9819) = ( 112 × 9819 ) / 1
LCM(112,9819) = 1099728 / 1
LCM(112,9819) = 1099728
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 6383/112, 5075/9819?
Answer: GCF of Numerators as per given numbers 6383/112, 5075/9819 is
GCF of Numerators i.e. for 6383,5075 is 1
LCM of denominators i.e. for 112,9819 is 1099728.
Thus, GCF of Fractions is 1/1099728.Finally, GCF of Fractions for 6383/112, 5075/9819 is 1/1099728.