Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6498/580,6295/2647
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 6498,6295
Greatest Common Factor of Numerators i.e. GCF of 6498,6295 is 1 .
LCM of Denominators means LCM of 580,2647 as per the given fractions.
LCM of 580,2647 is 1535260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6498,6295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Factors of 6295
List of positive integer factors of 6295 that divides 6295 without a remainder.
1,5,1259,6295
Greatest Common Factor
We found the factors 6498,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 6498,6295 is 1.
Lets's calculate LCM of 580,2647
Given numbers has no common factors except 1. So, there LCM is their product i.e 1535260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1535260
Therefore, the GCF of Fractions 6498/580,6295/2647 is 1/1535260
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 580,2647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,2647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,2647) x common factors =1 x 1 = 1
LCM(580,2647) = ( 580 × 2647 ) / 1
LCM(580,2647) = 1535260 / 1
LCM(580,2647) = 1535260
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 6498/580, 6295/2647?
Answer: GCF of Numerators as per given numbers 6498/580, 6295/2647 is
GCF of Numerators i.e. for 6498,6295 is 1
LCM of denominators i.e. for 580,2647 is 1535260.
Thus, GCF of Fractions is 1/1535260.Finally, GCF of Fractions for 6498/580, 6295/2647 is 1/1535260.