Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6600/937,4808/2593
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 6600,4808
Greatest Common Factor of Numerators i.e. GCF of 6600,4808 is 8 .
LCM of Denominators means LCM of 937,2593 as per the given fractions.
LCM of 937,2593 is 2429641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6600,4808
2 | 6600, 4808 |
2 | 3300, 2404 |
2 | 1650, 1202 |
825, 601 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6600
List of positive integer factors of 6600 that divides 6600 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Factors of 4808
List of positive integer factors of 4808 that divides 4808 without a remainder.
1,2,4,8,601,1202,2404,4808
Greatest Common Factor
We found the factors 6600,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,4808 is 8.
Lets's calculate LCM of 937,2593
Given numbers has no common factors except 1. So, there LCM is their product i.e 2429641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2429641
Therefore, the GCF of Fractions 6600/937,4808/2593 is 8/2429641
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 937,2593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,2593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,2593) x common factors =1 x 1 = 1
LCM(937,2593) = ( 937 × 2593 ) / 1
LCM(937,2593) = 2429641 / 1
LCM(937,2593) = 2429641
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 6600/937, 4808/2593?
Answer: GCF of Numerators as per given numbers 6600/937, 4808/2593 is
GCF of Numerators i.e. for 6600,4808 is 8
LCM of denominators i.e. for 937,2593 is 2429641.
Thus, GCF of Fractions is 8/2429641.Finally, GCF of Fractions for 6600/937, 4808/2593 is 8/2429641.