Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2320/315,2373/925
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 2320,2373
Greatest Common Factor of Numerators i.e. GCF of 2320,2373 is 1 .
LCM of Denominators means LCM of 315,925 as per the given fractions.
LCM of 315,925 is 58275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2320,2373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2320
List of positive integer factors of 2320 that divides 2320 without a remainder.
1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Greatest Common Factor
We found the factors 2320,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 2320,2373 is 1.
Lets's calculate LCM of 315,925
5 | 315, 925 |
63, 185 |
∴ So the LCM of the given numbers is 5 x 63 x 185 = 58275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58275
Therefore, the GCF of Fractions 2320/315,2373/925 is 1/58275
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 315,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(315,925) x common factors =5 x 1 = 5
LCM(315,925) = ( 315 × 925 ) / 5
LCM(315,925) = 291375 / 5
LCM(315,925) = 58275
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 2320/315, 2373/925?
Answer: GCF of Numerators as per given numbers 2320/315, 2373/925 is
GCF of Numerators i.e. for 2320,2373 is 1
LCM of denominators i.e. for 315,925 is 58275.
Thus, GCF of Fractions is 1/58275.Finally, GCF of Fractions for 2320/315, 2373/925 is 1/58275.