Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/60,31/71,871/999
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 15,31,871
Greatest Common Factor of Numerators i.e. GCF of 15,31,871 is 1 .
LCM of Denominators means LCM of 60,71,999 as per the given fractions.
LCM of 60,71,999 is 1418580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,31,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 15,31,871 . The biggest common factor number is the GCF number.
So the greatest common factor 15,31,871 is 1.
Lets's calculate LCM of 60,71,999
3 | 60, 71, 999 |
20, 71, 333 |
∴ So the LCM of the given numbers is 3 x 20 x 71 x 333 = 1418580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418580
Therefore, the GCF of Fractions 15/60,31/71,871/999 is 1/1418580
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 60,71,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,71,999) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(60,71,999) x common factors =1 x 3 = 3
LCM(60,71,999) = ( 60 × 71 × 999 ) / 3
LCM(60,71,999) = 4255740 / 3
LCM(60,71,999) = 1418580
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 15/60, 31/71, 871/999?
Answer: GCF of Numerators as per given numbers 15/60, 31/71, 871/999 is
GCF of Numerators i.e. for 15,31,871 is 1
LCM of denominators i.e. for 60,71,999 is 1418580.
Thus, GCF of Fractions is 1/1418580.Finally, GCF of Fractions for 15/60, 31/71, 871/999 is 1/1418580.