Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/3846,249/4180
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 673,249
Greatest Common Factor of Numerators i.e. GCF of 673,249 is 1 .
LCM of Denominators means LCM of 3846,4180 as per the given fractions.
LCM of 3846,4180 is 8038140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 673,249 . The biggest common factor number is the GCF number.
So the greatest common factor 673,249 is 1.
Lets's calculate LCM of 3846,4180
2 | 3846, 4180 |
1923, 2090 |
∴ So the LCM of the given numbers is 2 x 1923 x 2090 = 8038140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8038140
Therefore, the GCF of Fractions 673/3846,249/4180 is 1/8038140
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 3846,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3846,4180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3846,4180) x common factors =2 x 1 = 2
LCM(3846,4180) = ( 3846 × 4180 ) / 2
LCM(3846,4180) = 16076280 / 2
LCM(3846,4180) = 8038140
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 673/3846, 249/4180?
Answer: GCF of Numerators as per given numbers 673/3846, 249/4180 is
GCF of Numerators i.e. for 673,249 is 1
LCM of denominators i.e. for 3846,4180 is 8038140.
Thus, GCF of Fractions is 1/8038140.Finally, GCF of Fractions for 673/3846, 249/4180 is 1/8038140.