Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3225/358,4275/3029
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 3225,4275
Greatest Common Factor of Numerators i.e. GCF of 3225,4275 is 75 .
LCM of Denominators means LCM of 358,3029 as per the given fractions.
LCM of 358,3029 is 1084382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3225,4275
3 | 3225, 4275 |
5 | 1075, 1425 |
5 | 215, 285 |
43, 57 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Factors of 3225
List of positive integer factors of 3225 that divides 3225 without a remainder.
1,3,5,15,25,43,75,129,215,645,1075,3225
Factors of 4275
List of positive integer factors of 4275 that divides 4275 without a remainder.
1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Greatest Common Factor
We found the factors 3225,4275 . The biggest common factor number is the GCF number.
So the greatest common factor 3225,4275 is 75.
Lets's calculate LCM of 358,3029
Given numbers has no common factors except 1. So, there LCM is their product i.e 1084382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/1084382
Therefore, the GCF of Fractions 3225/358,4275/3029 is 75/1084382
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 358,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,3029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,3029) x common factors =1 x 1 = 1
LCM(358,3029) = ( 358 × 3029 ) / 1
LCM(358,3029) = 1084382 / 1
LCM(358,3029) = 1084382
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 3225/358, 4275/3029?
Answer: GCF of Numerators as per given numbers 3225/358, 4275/3029 is
GCF of Numerators i.e. for 3225,4275 is 75
LCM of denominators i.e. for 358,3029 is 1084382.
Thus, GCF of Fractions is 75/1084382.Finally, GCF of Fractions for 3225/358, 4275/3029 is 75/1084382.