Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7830/979,1902/368
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 7830,1902
Greatest Common Factor of Numerators i.e. GCF of 7830,1902 is 6 .
LCM of Denominators means LCM of 979,368 as per the given fractions.
LCM of 979,368 is 360272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7830,1902
2 | 7830, 1902 |
3 | 3915, 951 |
1305, 317 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7830
List of positive integer factors of 7830 that divides 7830 without a remainder.
1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Factors of 1902
List of positive integer factors of 1902 that divides 1902 without a remainder.
1,2,3,6,317,634,951,1902
Greatest Common Factor
We found the factors 7830,1902 . The biggest common factor number is the GCF number.
So the greatest common factor 7830,1902 is 6.
Lets's calculate LCM of 979,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 360272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/360272
Therefore, the GCF of Fractions 7830/979,1902/368 is 6/360272
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 979,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,368) x common factors =1 x 1 = 1
LCM(979,368) = ( 979 × 368 ) / 1
LCM(979,368) = 360272 / 1
LCM(979,368) = 360272
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 7830/979, 1902/368?
Answer: GCF of Numerators as per given numbers 7830/979, 1902/368 is
GCF of Numerators i.e. for 7830,1902 is 6
LCM of denominators i.e. for 979,368 is 360272.
Thus, GCF of Fractions is 6/360272.Finally, GCF of Fractions for 7830/979, 1902/368 is 6/360272.