Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/343,3300/2656
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 40,3300
Greatest Common Factor of Numerators i.e. GCF of 40,3300 is 20 .
LCM of Denominators means LCM of 343,2656 as per the given fractions.
LCM of 343,2656 is 911008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,3300
2 | 40, 3300 |
2 | 20, 1650 |
5 | 10, 825 |
2, 165 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 3300
List of positive integer factors of 3300 that divides 3300 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Greatest Common Factor
We found the factors 40,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3300 is 20.
Lets's calculate LCM of 343,2656
Given numbers has no common factors except 1. So, there LCM is their product i.e 911008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/911008
Therefore, the GCF of Fractions 40/343,3300/2656 is 20/911008
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 343,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,2656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,2656) x common factors =1 x 1 = 1
LCM(343,2656) = ( 343 × 2656 ) / 1
LCM(343,2656) = 911008 / 1
LCM(343,2656) = 911008
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 40/343, 3300/2656?
Answer: GCF of Numerators as per given numbers 40/343, 3300/2656 is
GCF of Numerators i.e. for 40,3300 is 20
LCM of denominators i.e. for 343,2656 is 911008.
Thus, GCF of Fractions is 20/911008.Finally, GCF of Fractions for 40/343, 3300/2656 is 20/911008.