Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 584/780,300/615,729/234
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 584,300,729
Greatest Common Factor of Numerators i.e. GCF of 584,300,729 is 1 .
LCM of Denominators means LCM of 780,615,234 as per the given fractions.
LCM of 780,615,234 is 95940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 584,300,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 584,300,729 . The biggest common factor number is the GCF number.
So the greatest common factor 584,300,729 is 1.
Lets's calculate LCM of 780,615,234
2 | 780, 615, 234 |
3 | 390, 615, 117 |
5 | 130, 205, 39 |
13 | 26, 41, 39 |
2, 41, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 2 x 41 x 3 = 95940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95940
Therefore, the GCF of Fractions 584/780,300/615,729/234 is 1/95940
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 780,615,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,615,234) = 3
common factors(in case of two or more numbers have common factors) = 390
GCF(780,615,234) x common factors =3 x 390 = 1170
LCM(780,615,234) = ( 780 × 615 × 234 ) / 1170
LCM(780,615,234) = 112249800 / 1170
LCM(780,615,234) = 95940
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 584/780, 300/615, 729/234?
Answer: GCF of Numerators as per given numbers 584/780, 300/615, 729/234 is
GCF of Numerators i.e. for 584,300,729 is 1
LCM of denominators i.e. for 780,615,234 is 95940.
Thus, GCF of Fractions is 1/95940.Finally, GCF of Fractions for 584/780, 300/615, 729/234 is 1/95940.