Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7844/972,3466/5908
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 7844,3466
Greatest Common Factor of Numerators i.e. GCF of 7844,3466 is 2 .
LCM of Denominators means LCM of 972,5908 as per the given fractions.
LCM of 972,5908 is 1435644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7844,3466
2 | 7844, 3466 |
3922, 1733 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7844
List of positive integer factors of 7844 that divides 7844 without a remainder.
1,2,4,37,53,74,106,148,212,1961,3922,7844
Factors of 3466
List of positive integer factors of 3466 that divides 3466 without a remainder.
1,2,1733,3466
Greatest Common Factor
We found the factors 7844,3466 . The biggest common factor number is the GCF number.
So the greatest common factor 7844,3466 is 2.
Lets's calculate LCM of 972,5908
2 | 972, 5908 |
2 | 486, 2954 |
243, 1477 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 1477 = 1435644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1435644
Therefore, the GCF of Fractions 7844/972,3466/5908 is 2/1435644
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 972,5908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,5908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,5908) x common factors =4 x 1 = 4
LCM(972,5908) = ( 972 × 5908 ) / 4
LCM(972,5908) = 5742576 / 4
LCM(972,5908) = 1435644
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 7844/972, 3466/5908?
Answer: GCF of Numerators as per given numbers 7844/972, 3466/5908 is
GCF of Numerators i.e. for 7844,3466 is 2
LCM of denominators i.e. for 972,5908 is 1435644.
Thus, GCF of Fractions is 2/1435644.Finally, GCF of Fractions for 7844/972, 3466/5908 is 2/1435644.