Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1279/632,5926/3349
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 1279,5926
Greatest Common Factor of Numerators i.e. GCF of 1279,5926 is 1 .
LCM of Denominators means LCM of 632,3349 as per the given fractions.
LCM of 632,3349 is 2116568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1279,5926
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Factors of 5926
List of positive integer factors of 5926 that divides 5926 without a remainder.
1,2,2963,5926
Greatest Common Factor
We found the factors 1279,5926 . The biggest common factor number is the GCF number.
So the greatest common factor 1279,5926 is 1.
Lets's calculate LCM of 632,3349
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2116568
Therefore, the GCF of Fractions 1279/632,5926/3349 is 1/2116568
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 632,3349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,3349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,3349) x common factors =1 x 1 = 1
LCM(632,3349) = ( 632 × 3349 ) / 1
LCM(632,3349) = 2116568 / 1
LCM(632,3349) = 2116568
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 1279/632, 5926/3349?
Answer: GCF of Numerators as per given numbers 1279/632, 5926/3349 is
GCF of Numerators i.e. for 1279,5926 is 1
LCM of denominators i.e. for 632,3349 is 2116568.
Thus, GCF of Fractions is 1/2116568.Finally, GCF of Fractions for 1279/632, 5926/3349 is 1/2116568.