Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8610/665,3840/3663
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 8610,3840
Greatest Common Factor of Numerators i.e. GCF of 8610,3840 is 30 .
LCM of Denominators means LCM of 665,3663 as per the given fractions.
LCM of 665,3663 is 2435895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8610,3840
2 | 8610, 3840 |
3 | 4305, 1920 |
5 | 1435, 640 |
287, 128 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 8610
List of positive integer factors of 8610 that divides 8610 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Factors of 3840
List of positive integer factors of 3840 that divides 3840 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors 8610,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 8610,3840 is 30.
Lets's calculate LCM of 665,3663
Given numbers has no common factors except 1. So, there LCM is their product i.e 2435895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2435895
Therefore, the GCF of Fractions 8610/665,3840/3663 is 30/2435895
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 665,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,3663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,3663) x common factors =1 x 1 = 1
LCM(665,3663) = ( 665 × 3663 ) / 1
LCM(665,3663) = 2435895 / 1
LCM(665,3663) = 2435895
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 8610/665, 3840/3663?
Answer: GCF of Numerators as per given numbers 8610/665, 3840/3663 is
GCF of Numerators i.e. for 8610,3840 is 30
LCM of denominators i.e. for 665,3663 is 2435895.
Thus, GCF of Fractions is 30/2435895.Finally, GCF of Fractions for 8610/665, 3840/3663 is 30/2435895.