Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/368,960/366
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 790,960
Greatest Common Factor of Numerators i.e. GCF of 790,960 is 10 .
LCM of Denominators means LCM of 368,366 as per the given fractions.
LCM of 368,366 is 67344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,960
2 | 790, 960 |
5 | 395, 480 |
79, 96 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 790,960 . The biggest common factor number is the GCF number.
So the greatest common factor 790,960 is 10.
Lets's calculate LCM of 368,366
2 | 368, 366 |
184, 183 |
∴ So the LCM of the given numbers is 2 x 184 x 183 = 67344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/67344
Therefore, the GCF of Fractions 790/368,960/366 is 10/67344
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 368,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,366) x common factors =2 x 1 = 2
LCM(368,366) = ( 368 × 366 ) / 2
LCM(368,366) = 134688 / 2
LCM(368,366) = 67344
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 790/368, 960/366?
Answer: GCF of Numerators as per given numbers 790/368, 960/366 is
GCF of Numerators i.e. for 790,960 is 10
LCM of denominators i.e. for 368,366 is 67344.
Thus, GCF of Fractions is 10/67344.Finally, GCF of Fractions for 790/368, 960/366 is 10/67344.