Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6007/75,2370/714
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 6007,2370
Greatest Common Factor of Numerators i.e. GCF of 6007,2370 is 1 .
LCM of Denominators means LCM of 75,714 as per the given fractions.
LCM of 75,714 is 17850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6007,2370
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6007
List of positive integer factors of 6007 that divides 6007 without a remainder.
1,6007
Factors of 2370
List of positive integer factors of 2370 that divides 2370 without a remainder.
1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 6007,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 6007,2370 is 1.
Lets's calculate LCM of 75,714
3 | 75, 714 |
25, 238 |
∴ So the LCM of the given numbers is 3 x 25 x 238 = 17850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17850
Therefore, the GCF of Fractions 6007/75,2370/714 is 1/17850
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 75,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,714) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,714) x common factors =3 x 1 = 3
LCM(75,714) = ( 75 × 714 ) / 3
LCM(75,714) = 53550 / 3
LCM(75,714) = 17850
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 6007/75, 2370/714?
Answer: GCF of Numerators as per given numbers 6007/75, 2370/714 is
GCF of Numerators i.e. for 6007,2370 is 1
LCM of denominators i.e. for 75,714 is 17850.
Thus, GCF of Fractions is 1/17850.Finally, GCF of Fractions for 6007/75, 2370/714 is 1/17850.