Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7633/19,6670/479
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 7633,6670
Greatest Common Factor of Numerators i.e. GCF of 7633,6670 is 1 .
LCM of Denominators means LCM of 19,479 as per the given fractions.
LCM of 19,479 is 9101 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7633,6670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7633
List of positive integer factors of 7633 that divides 7633 without a remainder.
1,17,449,7633
Factors of 6670
List of positive integer factors of 6670 that divides 6670 without a remainder.
1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 7633,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 7633,6670 is 1.
Lets's calculate LCM of 19,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 9101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9101
Therefore, the GCF of Fractions 7633/19,6670/479 is 1/9101
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 19,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,479) x common factors =1 x 1 = 1
LCM(19,479) = ( 19 × 479 ) / 1
LCM(19,479) = 9101 / 1
LCM(19,479) = 9101
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 7633/19, 6670/479?
Answer: GCF of Numerators as per given numbers 7633/19, 6670/479 is
GCF of Numerators i.e. for 7633,6670 is 1
LCM of denominators i.e. for 19,479 is 9101.
Thus, GCF of Fractions is 1/9101.Finally, GCF of Fractions for 7633/19, 6670/479 is 1/9101.