Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/17,3450/281
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 150,3450
Greatest Common Factor of Numerators i.e. GCF of 150,3450 is 150 .
LCM of Denominators means LCM of 17,281 as per the given fractions.
LCM of 17,281 is 4777 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 150,3450
2 | 150, 3450 |
3 | 75, 1725 |
5 | 25, 575 |
5 | 5, 115 |
1, 23 |
∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 3450
List of positive integer factors of 3450 that divides 3450 without a remainder.
1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 150,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 150,3450 is 150.
Lets's calculate LCM of 17,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 4777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/4777
Therefore, the GCF of Fractions 150/17,3450/281 is 150/4777
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 17,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,281) x common factors =1 x 1 = 1
LCM(17,281) = ( 17 × 281 ) / 1
LCM(17,281) = 4777 / 1
LCM(17,281) = 4777
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 150/17, 3450/281?
Answer: GCF of Numerators as per given numbers 150/17, 3450/281 is
GCF of Numerators i.e. for 150,3450 is 150
LCM of denominators i.e. for 17,281 is 4777.
Thus, GCF of Fractions is 150/4777.Finally, GCF of Fractions for 150/17, 3450/281 is 150/4777.