Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/75,493/9008
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 350,493
Greatest Common Factor of Numerators i.e. GCF of 350,493 is 1 .
LCM of Denominators means LCM of 75,9008 as per the given fractions.
LCM of 75,9008 is 675600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 350,493
∴ 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 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 350,493 . The biggest common factor number is the GCF number.
So the greatest common factor 350,493 is 1.
Lets's calculate LCM of 75,9008
Given numbers has no common factors except 1. So, there LCM is their product i.e 675600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675600
Therefore, the GCF of Fractions 350/75,493/9008 is 1/675600
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 75,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,9008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,9008) x common factors =1 x 1 = 1
LCM(75,9008) = ( 75 × 9008 ) / 1
LCM(75,9008) = 675600 / 1
LCM(75,9008) = 675600
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 350/75, 493/9008?
Answer: GCF of Numerators as per given numbers 350/75, 493/9008 is
GCF of Numerators i.e. for 350,493 is 1
LCM of denominators i.e. for 75,9008 is 675600.
Thus, GCF of Fractions is 1/675600.Finally, GCF of Fractions for 350/75, 493/9008 is 1/675600.