Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/34,975/300
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 494,975
Greatest Common Factor of Numerators i.e. GCF of 494,975 is 13 .
LCM of Denominators means LCM of 34,300 as per the given fractions.
LCM of 34,300 is 5100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,975
13 | 494, 975 |
38, 75 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 494,975 . The biggest common factor number is the GCF number.
So the greatest common factor 494,975 is 13.
Lets's calculate LCM of 34,300
2 | 34, 300 |
17, 150 |
∴ So the LCM of the given numbers is 2 x 17 x 150 = 5100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5100
Therefore, the GCF of Fractions 494/34,975/300 is 13/5100
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 34,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,300) x common factors =2 x 1 = 2
LCM(34,300) = ( 34 × 300 ) / 2
LCM(34,300) = 10200 / 2
LCM(34,300) = 5100
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 494/34, 975/300?
Answer: GCF of Numerators as per given numbers 494/34, 975/300 is
GCF of Numerators i.e. for 494,975 is 13
LCM of denominators i.e. for 34,300 is 5100.
Thus, GCF of Fractions is 13/5100.Finally, GCF of Fractions for 494/34, 975/300 is 13/5100.