Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8871/367,2625/6739
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 8871,2625
Greatest Common Factor of Numerators i.e. GCF of 8871,2625 is 3 .
LCM of Denominators means LCM of 367,6739 as per the given fractions.
LCM of 367,6739 is 2473213 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8871,2625
3 | 8871, 2625 |
2957, 875 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8871
List of positive integer factors of 8871 that divides 8871 without a remainder.
1,3,2957,8871
Factors of 2625
List of positive integer factors of 2625 that divides 2625 without a remainder.
1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Greatest Common Factor
We found the factors 8871,2625 . The biggest common factor number is the GCF number.
So the greatest common factor 8871,2625 is 3.
Lets's calculate LCM of 367,6739
Given numbers has no common factors except 1. So, there LCM is their product i.e 2473213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2473213
Therefore, the GCF of Fractions 8871/367,2625/6739 is 3/2473213
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 367,6739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,6739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,6739) x common factors =1 x 1 = 1
LCM(367,6739) = ( 367 × 6739 ) / 1
LCM(367,6739) = 2473213 / 1
LCM(367,6739) = 2473213
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 8871/367, 2625/6739?
Answer: GCF of Numerators as per given numbers 8871/367, 2625/6739 is
GCF of Numerators i.e. for 8871,2625 is 3
LCM of denominators i.e. for 367,6739 is 2473213.
Thus, GCF of Fractions is 3/2473213.Finally, GCF of Fractions for 8871/367, 2625/6739 is 3/2473213.