Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6593/394,4752/7117
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 6593,4752
Greatest Common Factor of Numerators i.e. GCF of 6593,4752 is 1 .
LCM of Denominators means LCM of 394,7117 as per the given fractions.
LCM of 394,7117 is 2804098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6593,4752
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6593
List of positive integer factors of 6593 that divides 6593 without a remainder.
1,19,347,6593
Factors of 4752
List of positive integer factors of 4752 that divides 4752 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 6593,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 6593,4752 is 1.
Lets's calculate LCM of 394,7117
Given numbers has no common factors except 1. So, there LCM is their product i.e 2804098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2804098
Therefore, the GCF of Fractions 6593/394,4752/7117 is 1/2804098
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 394,7117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,7117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,7117) x common factors =1 x 1 = 1
LCM(394,7117) = ( 394 × 7117 ) / 1
LCM(394,7117) = 2804098 / 1
LCM(394,7117) = 2804098
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 6593/394, 4752/7117?
Answer: GCF of Numerators as per given numbers 6593/394, 4752/7117 is
GCF of Numerators i.e. for 6593,4752 is 1
LCM of denominators i.e. for 394,7117 is 2804098.
Thus, GCF of Fractions is 1/2804098.Finally, GCF of Fractions for 6593/394, 4752/7117 is 1/2804098.