Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/299,1503/8385
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 350,1503
Greatest Common Factor of Numerators i.e. GCF of 350,1503 is 1 .
LCM of Denominators means LCM of 299,8385 as per the given fractions.
LCM of 299,8385 is 192855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 350,1503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 1503
List of positive integer factors of 1503 that divides 1503 without a remainder.
1,3,9,167,501,1503
Greatest Common Factor
We found the factors 350,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 350,1503 is 1.
Lets's calculate LCM of 299,8385
13 | 299, 8385 |
23, 645 |
∴ So the LCM of the given numbers is 13 x 23 x 645 = 192855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192855
Therefore, the GCF of Fractions 350/299,1503/8385 is 1/192855
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 299,8385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,8385) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(299,8385) x common factors =13 x 1 = 13
LCM(299,8385) = ( 299 × 8385 ) / 13
LCM(299,8385) = 2507115 / 13
LCM(299,8385) = 192855
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 350/299, 1503/8385?
Answer: GCF of Numerators as per given numbers 350/299, 1503/8385 is
GCF of Numerators i.e. for 350,1503 is 1
LCM of denominators i.e. for 299,8385 is 192855.
Thus, GCF of Fractions is 1/192855.Finally, GCF of Fractions for 350/299, 1503/8385 is 1/192855.