Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6588/206,8820/708
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 6588,8820
Greatest Common Factor of Numerators i.e. GCF of 6588,8820 is 36 .
LCM of Denominators means LCM of 206,708 as per the given fractions.
LCM of 206,708 is 72924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6588,8820
2 | 6588, 8820 |
2 | 3294, 4410 |
3 | 1647, 2205 |
3 | 549, 735 |
183, 245 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 6588
List of positive integer factors of 6588 that divides 6588 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,61,108,122,183,244,366,549,732,1098,1647,2196,3294,6588
Factors of 8820
List of positive integer factors of 8820 that divides 8820 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 6588,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 6588,8820 is 36.
Lets's calculate LCM of 206,708
2 | 206, 708 |
103, 354 |
∴ So the LCM of the given numbers is 2 x 103 x 354 = 72924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/72924
Therefore, the GCF of Fractions 6588/206,8820/708 is 36/72924
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 206,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,708) x common factors =2 x 1 = 2
LCM(206,708) = ( 206 × 708 ) / 2
LCM(206,708) = 145848 / 2
LCM(206,708) = 72924
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 6588/206, 8820/708?
Answer: GCF of Numerators as per given numbers 6588/206, 8820/708 is
GCF of Numerators i.e. for 6588,8820 is 36
LCM of denominators i.e. for 206,708 is 72924.
Thus, GCF of Fractions is 36/72924.Finally, GCF of Fractions for 6588/206, 8820/708 is 36/72924.