Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4500/496,1728/3205
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 4500,1728
Greatest Common Factor of Numerators i.e. GCF of 4500,1728 is 36 .
LCM of Denominators means LCM of 496,3205 as per the given fractions.
LCM of 496,3205 is 1589680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4500,1728
2 | 4500, 1728 |
2 | 2250, 864 |
3 | 1125, 432 |
3 | 375, 144 |
125, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 4500
List of positive integer factors of 4500 that divides 4500 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Factors of 1728
List of positive integer factors of 1728 that divides 1728 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Greatest Common Factor
We found the factors 4500,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 4500,1728 is 36.
Lets's calculate LCM of 496,3205
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1589680
Therefore, the GCF of Fractions 4500/496,1728/3205 is 36/1589680
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 496,3205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,3205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,3205) x common factors =1 x 1 = 1
LCM(496,3205) = ( 496 × 3205 ) / 1
LCM(496,3205) = 1589680 / 1
LCM(496,3205) = 1589680
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 4500/496, 1728/3205?
Answer: GCF of Numerators as per given numbers 4500/496, 1728/3205 is
GCF of Numerators i.e. for 4500,1728 is 36
LCM of denominators i.e. for 496,3205 is 1589680.
Thus, GCF of Fractions is 36/1589680.Finally, GCF of Fractions for 4500/496, 1728/3205 is 36/1589680.