Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/298,3304/417
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 664,3304
Greatest Common Factor of Numerators i.e. GCF of 664,3304 is 8 .
LCM of Denominators means LCM of 298,417 as per the given fractions.
LCM of 298,417 is 124266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 664,3304
2 | 664, 3304 |
2 | 332, 1652 |
2 | 166, 826 |
83, 413 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 3304
List of positive integer factors of 3304 that divides 3304 without a remainder.
1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 664,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 664,3304 is 8.
Lets's calculate LCM of 298,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 124266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/124266
Therefore, the GCF of Fractions 664/298,3304/417 is 8/124266
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 298,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,417) x common factors =1 x 1 = 1
LCM(298,417) = ( 298 × 417 ) / 1
LCM(298,417) = 124266 / 1
LCM(298,417) = 124266
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 664/298, 3304/417?
Answer: GCF of Numerators as per given numbers 664/298, 3304/417 is
GCF of Numerators i.e. for 664,3304 is 8
LCM of denominators i.e. for 298,417 is 124266.
Thus, GCF of Fractions is 8/124266.Finally, GCF of Fractions for 664/298, 3304/417 is 8/124266.