Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/965,797/218,210/929
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 44,797,210
Greatest Common Factor of Numerators i.e. GCF of 44,797,210 is 1 .
LCM of Denominators means LCM of 965,218,929 as per the given fractions.
LCM of 965,218,929 is 195433730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,797,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 44,797,210 . The biggest common factor number is the GCF number.
So the greatest common factor 44,797,210 is 1.
Lets's calculate LCM of 965,218,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 195433730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195433730
Therefore, the GCF of Fractions 44/965,797/218,210/929 is 1/195433730
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 965,218,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,218,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,218,929) x common factors =1 x 1 = 1
LCM(965,218,929) = ( 965 × 218 × 929 ) / 1
LCM(965,218,929) = 195433730 / 1
LCM(965,218,929) = 195433730
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 44/965, 797/218, 210/929?
Answer: GCF of Numerators as per given numbers 44/965, 797/218, 210/929 is
GCF of Numerators i.e. for 44,797,210 is 1
LCM of denominators i.e. for 965,218,929 is 195433730.
Thus, GCF of Fractions is 1/195433730.Finally, GCF of Fractions for 44/965, 797/218, 210/929 is 1/195433730.