Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5127/327,1308/8125
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 5127,1308
Greatest Common Factor of Numerators i.e. GCF of 5127,1308 is 3 .
LCM of Denominators means LCM of 327,8125 as per the given fractions.
LCM of 327,8125 is 2656875 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5127,1308
3 | 5127, 1308 |
1709, 436 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5127
List of positive integer factors of 5127 that divides 5127 without a remainder.
1,3,1709,5127
Factors of 1308
List of positive integer factors of 1308 that divides 1308 without a remainder.
1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 5127,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,1308 is 3.
Lets's calculate LCM of 327,8125
Given numbers has no common factors except 1. So, there LCM is their product i.e 2656875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2656875
Therefore, the GCF of Fractions 5127/327,1308/8125 is 3/2656875
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 327,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,8125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,8125) x common factors =1 x 1 = 1
LCM(327,8125) = ( 327 × 8125 ) / 1
LCM(327,8125) = 2656875 / 1
LCM(327,8125) = 2656875
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 5127/327, 1308/8125?
Answer: GCF of Numerators as per given numbers 5127/327, 1308/8125 is
GCF of Numerators i.e. for 5127,1308 is 3
LCM of denominators i.e. for 327,8125 is 2656875.
Thus, GCF of Fractions is 3/2656875.Finally, GCF of Fractions for 5127/327, 1308/8125 is 3/2656875.