Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4048/457,8625/333
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 4048,8625
Greatest Common Factor of Numerators i.e. GCF of 4048,8625 is 23 .
LCM of Denominators means LCM of 457,333 as per the given fractions.
LCM of 457,333 is 152181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4048,8625
23 | 4048, 8625 |
176, 375 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 4048
List of positive integer factors of 4048 that divides 4048 without a remainder.
1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Factors of 8625
List of positive integer factors of 8625 that divides 8625 without a remainder.
1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625
Greatest Common Factor
We found the factors 4048,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 4048,8625 is 23.
Lets's calculate LCM of 457,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 152181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/152181
Therefore, the GCF of Fractions 4048/457,8625/333 is 23/152181
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 457,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,333) x common factors =1 x 1 = 1
LCM(457,333) = ( 457 × 333 ) / 1
LCM(457,333) = 152181 / 1
LCM(457,333) = 152181
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 4048/457, 8625/333?
Answer: GCF of Numerators as per given numbers 4048/457, 8625/333 is
GCF of Numerators i.e. for 4048,8625 is 23
LCM of denominators i.e. for 457,333 is 152181.
Thus, GCF of Fractions is 23/152181.Finally, GCF of Fractions for 4048/457, 8625/333 is 23/152181.