Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/999,375/751
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 30,375
Greatest Common Factor of Numerators i.e. GCF of 30,375 is 15 .
LCM of Denominators means LCM of 999,751 as per the given fractions.
LCM of 999,751 is 750249 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,375
3 | 30, 375 |
5 | 10, 125 |
2, 25 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 30,375 . The biggest common factor number is the GCF number.
So the greatest common factor 30,375 is 15.
Lets's calculate LCM of 999,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 750249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/750249
Therefore, the GCF of Fractions 30/999,375/751 is 15/750249
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 999,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,751) x common factors =1 x 1 = 1
LCM(999,751) = ( 999 × 751 ) / 1
LCM(999,751) = 750249 / 1
LCM(999,751) = 750249
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 30/999, 375/751?
Answer: GCF of Numerators as per given numbers 30/999, 375/751 is
GCF of Numerators i.e. for 30,375 is 15
LCM of denominators i.e. for 999,751 is 750249.
Thus, GCF of Fractions is 15/750249.Finally, GCF of Fractions for 30/999, 375/751 is 15/750249.