Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3220/34,8411/918
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 3220,8411
Greatest Common Factor of Numerators i.e. GCF of 3220,8411 is 1 .
LCM of Denominators means LCM of 34,918 as per the given fractions.
LCM of 34,918 is 918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3220,8411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3220
List of positive integer factors of 3220 that divides 3220 without a remainder.
1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Factors of 8411
List of positive integer factors of 8411 that divides 8411 without a remainder.
1,13,647,8411
Greatest Common Factor
We found the factors 3220,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 3220,8411 is 1.
Lets's calculate LCM of 34,918
2 | 34, 918 |
17 | 17, 459 |
1, 27 |
∴ So the LCM of the given numbers is 2 x 17 x 1 x 27 = 918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918
Therefore, the GCF of Fractions 3220/34,8411/918 is 1/918
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 34,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,918) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(34,918) x common factors =34 x 1 = 34
LCM(34,918) = ( 34 × 918 ) / 34
LCM(34,918) = 31212 / 34
LCM(34,918) = 918
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 3220/34, 8411/918?
Answer: GCF of Numerators as per given numbers 3220/34, 8411/918 is
GCF of Numerators i.e. for 3220,8411 is 1
LCM of denominators i.e. for 34,918 is 918.
Thus, GCF of Fractions is 1/918.Finally, GCF of Fractions for 3220/34, 8411/918 is 1/918.