Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/466,346/696
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 659,346
Greatest Common Factor of Numerators i.e. GCF of 659,346 is 1 .
LCM of Denominators means LCM of 466,696 as per the given fractions.
LCM of 466,696 is 162168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 659,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 659,346 . The biggest common factor number is the GCF number.
So the greatest common factor 659,346 is 1.
Lets's calculate LCM of 466,696
2 | 466, 696 |
233, 348 |
∴ So the LCM of the given numbers is 2 x 233 x 348 = 162168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162168
Therefore, the GCF of Fractions 659/466,346/696 is 1/162168
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 466,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,696) x common factors =2 x 1 = 2
LCM(466,696) = ( 466 × 696 ) / 2
LCM(466,696) = 324336 / 2
LCM(466,696) = 162168
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 659/466, 346/696?
Answer: GCF of Numerators as per given numbers 659/466, 346/696 is
GCF of Numerators i.e. for 659,346 is 1
LCM of denominators i.e. for 466,696 is 162168.
Thus, GCF of Fractions is 1/162168.Finally, GCF of Fractions for 659/466, 346/696 is 1/162168.