Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2425/893,3298/8356
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 2425,3298
Greatest Common Factor of Numerators i.e. GCF of 2425,3298 is 97 .
LCM of Denominators means LCM of 893,8356 as per the given fractions.
LCM of 893,8356 is 7461908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2425,3298
97 | 2425, 3298 |
25, 34 |
∴ So the GCF of the given numbers is 97 = 97
Factors of 2425
List of positive integer factors of 2425 that divides 2425 without a remainder.
1,5,25,97,485,2425
Factors of 3298
List of positive integer factors of 3298 that divides 3298 without a remainder.
1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 2425,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,3298 is 97.
Lets's calculate LCM of 893,8356
Given numbers has no common factors except 1. So, there LCM is their product i.e 7461908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/7461908
Therefore, the GCF of Fractions 2425/893,3298/8356 is 97/7461908
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 893,8356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,8356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,8356) x common factors =1 x 1 = 1
LCM(893,8356) = ( 893 × 8356 ) / 1
LCM(893,8356) = 7461908 / 1
LCM(893,8356) = 7461908
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 2425/893, 3298/8356?
Answer: GCF of Numerators as per given numbers 2425/893, 3298/8356 is
GCF of Numerators i.e. for 2425,3298 is 97
LCM of denominators i.e. for 893,8356 is 7461908.
Thus, GCF of Fractions is 97/7461908.Finally, GCF of Fractions for 2425/893, 3298/8356 is 97/7461908.