Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/297,4123/8253
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 665,4123
Greatest Common Factor of Numerators i.e. GCF of 665,4123 is 133 .
LCM of Denominators means LCM of 297,8253 as per the given fractions.
LCM of 297,8253 is 272349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,4123
7 | 665, 4123 |
19 | 95, 589 |
5, 31 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors 665,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 665,4123 is 133.
Lets's calculate LCM of 297,8253
3 | 297, 8253 |
3 | 99, 2751 |
33, 917 |
∴ So the LCM of the given numbers is 3 x 3 x 33 x 917 = 272349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/272349
Therefore, the GCF of Fractions 665/297,4123/8253 is 133/272349
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 297,8253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,8253) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(297,8253) x common factors =9 x 1 = 9
LCM(297,8253) = ( 297 × 8253 ) / 9
LCM(297,8253) = 2451141 / 9
LCM(297,8253) = 272349
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 665/297, 4123/8253?
Answer: GCF of Numerators as per given numbers 665/297, 4123/8253 is
GCF of Numerators i.e. for 665,4123 is 133
LCM of denominators i.e. for 297,8253 is 272349.
Thus, GCF of Fractions is 133/272349.Finally, GCF of Fractions for 665/297, 4123/8253 is 133/272349.