Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/13,450/1311
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 830,450
Greatest Common Factor of Numerators i.e. GCF of 830,450 is 10 .
LCM of Denominators means LCM of 13,1311 as per the given fractions.
LCM of 13,1311 is 17043 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 830,450
2 | 830, 450 |
5 | 415, 225 |
83, 45 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 830,450 . The biggest common factor number is the GCF number.
So the greatest common factor 830,450 is 10.
Lets's calculate LCM of 13,1311
Given numbers has no common factors except 1. So, there LCM is their product i.e 17043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/17043
Therefore, the GCF of Fractions 830/13,450/1311 is 10/17043
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 13,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,1311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,1311) x common factors =1 x 1 = 1
LCM(13,1311) = ( 13 × 1311 ) / 1
LCM(13,1311) = 17043 / 1
LCM(13,1311) = 17043
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 830/13, 450/1311?
Answer: GCF of Numerators as per given numbers 830/13, 450/1311 is
GCF of Numerators i.e. for 830,450 is 10
LCM of denominators i.e. for 13,1311 is 17043.
Thus, GCF of Fractions is 10/17043.Finally, GCF of Fractions for 830/13, 450/1311 is 10/17043.