Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2380/829,8849/306
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 2380,8849
Greatest Common Factor of Numerators i.e. GCF of 2380,8849 is 1 .
LCM of Denominators means LCM of 829,306 as per the given fractions.
LCM of 829,306 is 253674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2380,8849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2380
List of positive integer factors of 2380 that divides 2380 without a remainder.
1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Factors of 8849
List of positive integer factors of 8849 that divides 8849 without a remainder.
1,8849
Greatest Common Factor
We found the factors 2380,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 2380,8849 is 1.
Lets's calculate LCM of 829,306
Given numbers has no common factors except 1. So, there LCM is their product i.e 253674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253674
Therefore, the GCF of Fractions 2380/829,8849/306 is 1/253674
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 829,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,306) x common factors =1 x 1 = 1
LCM(829,306) = ( 829 × 306 ) / 1
LCM(829,306) = 253674 / 1
LCM(829,306) = 253674
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 2380/829, 8849/306?
Answer: GCF of Numerators as per given numbers 2380/829, 8849/306 is
GCF of Numerators i.e. for 2380,8849 is 1
LCM of denominators i.e. for 829,306 is 253674.
Thus, GCF of Fractions is 1/253674.Finally, GCF of Fractions for 2380/829, 8849/306 is 1/253674.