Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 323/536,7125/979
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 323,7125
Greatest Common Factor of Numerators i.e. GCF of 323,7125 is 19 .
LCM of Denominators means LCM of 536,979 as per the given fractions.
LCM of 536,979 is 524744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 323,7125
19 | 323, 7125 |
17, 375 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 323,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 323,7125 is 19.
Lets's calculate LCM of 536,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 524744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/524744
Therefore, the GCF of Fractions 323/536,7125/979 is 19/524744
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 536,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,979) x common factors =1 x 1 = 1
LCM(536,979) = ( 536 × 979 ) / 1
LCM(536,979) = 524744 / 1
LCM(536,979) = 524744
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 323/536, 7125/979?
Answer: GCF of Numerators as per given numbers 323/536, 7125/979 is
GCF of Numerators i.e. for 323,7125 is 19
LCM of denominators i.e. for 536,979 is 524744.
Thus, GCF of Fractions is 19/524744.Finally, GCF of Fractions for 323/536, 7125/979 is 19/524744.