Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 395/929,2359/869
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 395,2359
Greatest Common Factor of Numerators i.e. GCF of 395,2359 is 1 .
LCM of Denominators means LCM of 929,869 as per the given fractions.
LCM of 929,869 is 807301 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 395,2359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 2359
List of positive integer factors of 2359 that divides 2359 without a remainder.
1,7,337,2359
Greatest Common Factor
We found the factors 395,2359 . The biggest common factor number is the GCF number.
So the greatest common factor 395,2359 is 1.
Lets's calculate LCM of 929,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 807301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807301
Therefore, the GCF of Fractions 395/929,2359/869 is 1/807301
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 929,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,869) x common factors =1 x 1 = 1
LCM(929,869) = ( 929 × 869 ) / 1
LCM(929,869) = 807301 / 1
LCM(929,869) = 807301
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 395/929, 2359/869?
Answer: GCF of Numerators as per given numbers 395/929, 2359/869 is
GCF of Numerators i.e. for 395,2359 is 1
LCM of denominators i.e. for 929,869 is 807301.
Thus, GCF of Fractions is 1/807301.Finally, GCF of Fractions for 395/929, 2359/869 is 1/807301.