Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 670/43,204/3723
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 670,204
Greatest Common Factor of Numerators i.e. GCF of 670,204 is 2 .
LCM of Denominators means LCM of 43,3723 as per the given fractions.
LCM of 43,3723 is 160089 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 670,204
2 | 670, 204 |
335, 102 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 670,204 . The biggest common factor number is the GCF number.
So the greatest common factor 670,204 is 2.
Lets's calculate LCM of 43,3723
Given numbers has no common factors except 1. So, there LCM is their product i.e 160089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160089
Therefore, the GCF of Fractions 670/43,204/3723 is 2/160089
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 43,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,3723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,3723) x common factors =1 x 1 = 1
LCM(43,3723) = ( 43 × 3723 ) / 1
LCM(43,3723) = 160089 / 1
LCM(43,3723) = 160089
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 670/43, 204/3723?
Answer: GCF of Numerators as per given numbers 670/43, 204/3723 is
GCF of Numerators i.e. for 670,204 is 2
LCM of denominators i.e. for 43,3723 is 160089.
Thus, GCF of Fractions is 2/160089.Finally, GCF of Fractions for 670/43, 204/3723 is 2/160089.