Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/17,820/1632
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 341,820
Greatest Common Factor of Numerators i.e. GCF of 341,820 is 1 .
LCM of Denominators means LCM of 17,1632 as per the given fractions.
LCM of 17,1632 is 1632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 341,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 341,820 . The biggest common factor number is the GCF number.
So the greatest common factor 341,820 is 1.
Lets's calculate LCM of 17,1632
17 | 17, 1632 |
1, 96 |
∴ So the LCM of the given numbers is 17 x 1 x 96 = 1632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1632
Therefore, the GCF of Fractions 341/17,820/1632 is 1/1632
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 17,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,1632) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(17,1632) x common factors =17 x 1 = 17
LCM(17,1632) = ( 17 × 1632 ) / 17
LCM(17,1632) = 27744 / 17
LCM(17,1632) = 1632
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 341/17, 820/1632?
Answer: GCF of Numerators as per given numbers 341/17, 820/1632 is
GCF of Numerators i.e. for 341,820 is 1
LCM of denominators i.e. for 17,1632 is 1632.
Thus, GCF of Fractions is 1/1632.Finally, GCF of Fractions for 341/17, 820/1632 is 1/1632.