Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2673/967,3965/392
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 2673,3965
Greatest Common Factor of Numerators i.e. GCF of 2673,3965 is 1 .
LCM of Denominators means LCM of 967,392 as per the given fractions.
LCM of 967,392 is 379064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2673,3965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2673
List of positive integer factors of 2673 that divides 2673 without a remainder.
1,3,9,11,27,33,81,99,243,297,891,2673
Factors of 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1,5,13,61,65,305,793,3965
Greatest Common Factor
We found the factors 2673,3965 . The biggest common factor number is the GCF number.
So the greatest common factor 2673,3965 is 1.
Lets's calculate LCM of 967,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 379064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379064
Therefore, the GCF of Fractions 2673/967,3965/392 is 1/379064
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 967,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,392) x common factors =1 x 1 = 1
LCM(967,392) = ( 967 × 392 ) / 1
LCM(967,392) = 379064 / 1
LCM(967,392) = 379064
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 2673/967, 3965/392?
Answer: GCF of Numerators as per given numbers 2673/967, 3965/392 is
GCF of Numerators i.e. for 2673,3965 is 1
LCM of denominators i.e. for 967,392 is 379064.
Thus, GCF of Fractions is 1/379064.Finally, GCF of Fractions for 2673/967, 3965/392 is 1/379064.