Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4320/593,5731/863
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 4320,5731
Greatest Common Factor of Numerators i.e. GCF of 4320,5731 is 1 .
LCM of Denominators means LCM of 593,863 as per the given fractions.
LCM of 593,863 is 511759 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4320,5731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4320
List of positive integer factors of 4320 that divides 4320 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Factors of 5731
List of positive integer factors of 5731 that divides 5731 without a remainder.
1,11,521,5731
Greatest Common Factor
We found the factors 4320,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 4320,5731 is 1.
Lets's calculate LCM of 593,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 511759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511759
Therefore, the GCF of Fractions 4320/593,5731/863 is 1/511759
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 593,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,863) x common factors =1 x 1 = 1
LCM(593,863) = ( 593 × 863 ) / 1
LCM(593,863) = 511759 / 1
LCM(593,863) = 511759
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 4320/593, 5731/863?
Answer: GCF of Numerators as per given numbers 4320/593, 5731/863 is
GCF of Numerators i.e. for 4320,5731 is 1
LCM of denominators i.e. for 593,863 is 511759.
Thus, GCF of Fractions is 1/511759.Finally, GCF of Fractions for 4320/593, 5731/863 is 1/511759.