Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3999/51,1307/172
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 3999,1307
Greatest Common Factor of Numerators i.e. GCF of 3999,1307 is 1 .
LCM of Denominators means LCM of 51,172 as per the given fractions.
LCM of 51,172 is 8772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3999,1307
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3999
List of positive integer factors of 3999 that divides 3999 without a remainder.
1,3,31,43,93,129,1333,3999
Factors of 1307
List of positive integer factors of 1307 that divides 1307 without a remainder.
1,1307
Greatest Common Factor
We found the factors 3999,1307 . The biggest common factor number is the GCF number.
So the greatest common factor 3999,1307 is 1.
Lets's calculate LCM of 51,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 8772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8772
Therefore, the GCF of Fractions 3999/51,1307/172 is 1/8772
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 51,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,172) x common factors =1 x 1 = 1
LCM(51,172) = ( 51 × 172 ) / 1
LCM(51,172) = 8772 / 1
LCM(51,172) = 8772
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 3999/51, 1307/172?
Answer: GCF of Numerators as per given numbers 3999/51, 1307/172 is
GCF of Numerators i.e. for 3999,1307 is 1
LCM of denominators i.e. for 51,172 is 8772.
Thus, GCF of Fractions is 1/8772.Finally, GCF of Fractions for 3999/51, 1307/172 is 1/8772.