Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3725/40,9589/375
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 3725,9589
Greatest Common Factor of Numerators i.e. GCF of 3725,9589 is 1 .
LCM of Denominators means LCM of 40,375 as per the given fractions.
LCM of 40,375 is 3000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3725,9589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1,5,25,149,745,3725
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1,43,223,9589
Greatest Common Factor
We found the factors 3725,9589 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,9589 is 1.
Lets's calculate LCM of 40,375
5 | 40, 375 |
8, 75 |
∴ So the LCM of the given numbers is 5 x 8 x 75 = 3000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3000
Therefore, the GCF of Fractions 3725/40,9589/375 is 1/3000
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 40,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,375) x common factors =5 x 1 = 5
LCM(40,375) = ( 40 × 375 ) / 5
LCM(40,375) = 15000 / 5
LCM(40,375) = 3000
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 3725/40, 9589/375?
Answer: GCF of Numerators as per given numbers 3725/40, 9589/375 is
GCF of Numerators i.e. for 3725,9589 is 1
LCM of denominators i.e. for 40,375 is 3000.
Thus, GCF of Fractions is 1/3000.Finally, GCF of Fractions for 3725/40, 9589/375 is 1/3000.