Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8159/480,8160/8480
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 8159,8160
Greatest Common Factor of Numerators i.e. GCF of 8159,8160 is 1 .
LCM of Denominators means LCM of 480,8480 as per the given fractions.
LCM of 480,8480 is 25440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8159,8160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8159
List of positive integer factors of 8159 that divides 8159 without a remainder.
1,41,199,8159
Factors of 8160
List of positive integer factors of 8160 that divides 8160 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 8159,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 8159,8160 is 1.
Lets's calculate LCM of 480,8480
2 | 480, 8480 |
2 | 240, 4240 |
2 | 120, 2120 |
2 | 60, 1060 |
2 | 30, 530 |
5 | 15, 265 |
3, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 3 x 53 = 25440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25440
Therefore, the GCF of Fractions 8159/480,8160/8480 is 1/25440
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 480,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,8480) = 160
common factors(in case of two or more numbers have common factors) = 1
GCF(480,8480) x common factors =160 x 1 = 160
LCM(480,8480) = ( 480 × 8480 ) / 160
LCM(480,8480) = 4070400 / 160
LCM(480,8480) = 25440
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 8159/480, 8160/8480?
Answer: GCF of Numerators as per given numbers 8159/480, 8160/8480 is
GCF of Numerators i.e. for 8159,8160 is 1
LCM of denominators i.e. for 480,8480 is 25440.
Thus, GCF of Fractions is 1/25440.Finally, GCF of Fractions for 8159/480, 8160/8480 is 1/25440.