Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3229/92,3041/246
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 3229,3041
Greatest Common Factor of Numerators i.e. GCF of 3229,3041 is 1 .
LCM of Denominators means LCM of 92,246 as per the given fractions.
LCM of 92,246 is 11316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3229,3041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3229
List of positive integer factors of 3229 that divides 3229 without a remainder.
1,3229
Factors of 3041
List of positive integer factors of 3041 that divides 3041 without a remainder.
1,3041
Greatest Common Factor
We found the factors 3229,3041 . The biggest common factor number is the GCF number.
So the greatest common factor 3229,3041 is 1.
Lets's calculate LCM of 92,246
2 | 92, 246 |
46, 123 |
∴ So the LCM of the given numbers is 2 x 46 x 123 = 11316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11316
Therefore, the GCF of Fractions 3229/92,3041/246 is 1/11316
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 92,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,246) x common factors =2 x 1 = 2
LCM(92,246) = ( 92 × 246 ) / 2
LCM(92,246) = 22632 / 2
LCM(92,246) = 11316
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 3229/92, 3041/246?
Answer: GCF of Numerators as per given numbers 3229/92, 3041/246 is
GCF of Numerators i.e. for 3229,3041 is 1
LCM of denominators i.e. for 92,246 is 11316.
Thus, GCF of Fractions is 1/11316.Finally, GCF of Fractions for 3229/92, 3041/246 is 1/11316.