Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3466/342,8410/693
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 3466,8410
Greatest Common Factor of Numerators i.e. GCF of 3466,8410 is 2 .
LCM of Denominators means LCM of 342,693 as per the given fractions.
LCM of 342,693 is 26334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3466,8410
2 | 3466, 8410 |
1733, 4205 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3466
List of positive integer factors of 3466 that divides 3466 without a remainder.
1,2,1733,3466
Factors of 8410
List of positive integer factors of 8410 that divides 8410 without a remainder.
1,2,5,10,29,58,145,290,841,1682,4205,8410
Greatest Common Factor
We found the factors 3466,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,8410 is 2.
Lets's calculate LCM of 342,693
3 | 342, 693 |
3 | 114, 231 |
38, 77 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 77 = 26334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26334
Therefore, the GCF of Fractions 3466/342,8410/693 is 2/26334
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 342,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,693) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,693) x common factors =9 x 1 = 9
LCM(342,693) = ( 342 × 693 ) / 9
LCM(342,693) = 237006 / 9
LCM(342,693) = 26334
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 3466/342, 8410/693?
Answer: GCF of Numerators as per given numbers 3466/342, 8410/693 is
GCF of Numerators i.e. for 3466,8410 is 2
LCM of denominators i.e. for 342,693 is 26334.
Thus, GCF of Fractions is 2/26334.Finally, GCF of Fractions for 3466/342, 8410/693 is 2/26334.