Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3139/396,9498/6072
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 3139,9498
Greatest Common Factor of Numerators i.e. GCF of 3139,9498 is 1 .
LCM of Denominators means LCM of 396,6072 as per the given fractions.
LCM of 396,6072 is 18216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3139,9498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3139
List of positive integer factors of 3139 that divides 3139 without a remainder.
1,43,73,3139
Factors of 9498
List of positive integer factors of 9498 that divides 9498 without a remainder.
1,2,3,6,1583,3166,4749,9498
Greatest Common Factor
We found the factors 3139,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 3139,9498 is 1.
Lets's calculate LCM of 396,6072
2 | 396, 6072 |
2 | 198, 3036 |
3 | 99, 1518 |
11 | 33, 506 |
3, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 3 x 46 = 18216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18216
Therefore, the GCF of Fractions 3139/396,9498/6072 is 1/18216
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 396,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,6072) = 132
common factors(in case of two or more numbers have common factors) = 1
GCF(396,6072) x common factors =132 x 1 = 132
LCM(396,6072) = ( 396 × 6072 ) / 132
LCM(396,6072) = 2404512 / 132
LCM(396,6072) = 18216
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 3139/396, 9498/6072?
Answer: GCF of Numerators as per given numbers 3139/396, 9498/6072 is
GCF of Numerators i.e. for 3139,9498 is 1
LCM of denominators i.e. for 396,6072 is 18216.
Thus, GCF of Fractions is 1/18216.Finally, GCF of Fractions for 3139/396, 9498/6072 is 1/18216.