Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 498/314,3363/6672
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 498,3363
Greatest Common Factor of Numerators i.e. GCF of 498,3363 is 3 .
LCM of Denominators means LCM of 314,6672 as per the given fractions.
LCM of 314,6672 is 1047504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 498,3363
3 | 498, 3363 |
166, 1121 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 498,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 498,3363 is 3.
Lets's calculate LCM of 314,6672
2 | 314, 6672 |
157, 3336 |
∴ So the LCM of the given numbers is 2 x 157 x 3336 = 1047504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1047504
Therefore, the GCF of Fractions 498/314,3363/6672 is 3/1047504
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 314,6672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,6672) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,6672) x common factors =2 x 1 = 2
LCM(314,6672) = ( 314 × 6672 ) / 2
LCM(314,6672) = 2095008 / 2
LCM(314,6672) = 1047504
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 498/314, 3363/6672?
Answer: GCF of Numerators as per given numbers 498/314, 3363/6672 is
GCF of Numerators i.e. for 498,3363 is 3
LCM of denominators i.e. for 314,6672 is 1047504.
Thus, GCF of Fractions is 3/1047504.Finally, GCF of Fractions for 498/314, 3363/6672 is 3/1047504.