Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1663/839,2730/944
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 1663,2730
Greatest Common Factor of Numerators i.e. GCF of 1663,2730 is 1 .
LCM of Denominators means LCM of 839,944 as per the given fractions.
LCM of 839,944 is 792016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1663,2730
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1663
List of positive integer factors of 1663 that divides 1663 without a remainder.
1,1663
Factors of 2730
List of positive integer factors of 2730 that divides 2730 without a remainder.
1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Greatest Common Factor
We found the factors 1663,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 1663,2730 is 1.
Lets's calculate LCM of 839,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 792016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792016
Therefore, the GCF of Fractions 1663/839,2730/944 is 1/792016
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 839,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,944) x common factors =1 x 1 = 1
LCM(839,944) = ( 839 × 944 ) / 1
LCM(839,944) = 792016 / 1
LCM(839,944) = 792016
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 1663/839, 2730/944?
Answer: GCF of Numerators as per given numbers 1663/839, 2730/944 is
GCF of Numerators i.e. for 1663,2730 is 1
LCM of denominators i.e. for 839,944 is 792016.
Thus, GCF of Fractions is 1/792016.Finally, GCF of Fractions for 1663/839, 2730/944 is 1/792016.