Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/361,968/832,321/143
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 497,968,321
Greatest Common Factor of Numerators i.e. GCF of 497,968,321 is 1 .
LCM of Denominators means LCM of 361,832,143 as per the given fractions.
LCM of 361,832,143 is 3303872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 497,968,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 497,968,321 . The biggest common factor number is the GCF number.
So the greatest common factor 497,968,321 is 1.
Lets's calculate LCM of 361,832,143
13 | 361, 832, 143 |
361, 64, 11 |
∴ So the LCM of the given numbers is 13 x 361 x 64 x 11 = 3303872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3303872
Therefore, the GCF of Fractions 497/361,968/832,321/143 is 1/3303872
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 361,832,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,832,143) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(361,832,143) x common factors =1 x 13 = 13
LCM(361,832,143) = ( 361 × 832 × 143 ) / 13
LCM(361,832,143) = 42950336 / 13
LCM(361,832,143) = 3303872
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 497/361, 968/832, 321/143?
Answer: GCF of Numerators as per given numbers 497/361, 968/832, 321/143 is
GCF of Numerators i.e. for 497,968,321 is 1
LCM of denominators i.e. for 361,832,143 is 3303872.
Thus, GCF of Fractions is 1/3303872.Finally, GCF of Fractions for 497/361, 968/832, 321/143 is 1/3303872.