Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/89,935/88,638/850
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 379,935,638
Greatest Common Factor of Numerators i.e. GCF of 379,935,638 is 1 .
LCM of Denominators means LCM of 89,88,850 as per the given fractions.
LCM of 89,88,850 is 3328600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 379,935,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 379,935,638 . The biggest common factor number is the GCF number.
So the greatest common factor 379,935,638 is 1.
Lets's calculate LCM of 89,88,850
2 | 89, 88, 850 |
89, 44, 425 |
∴ So the LCM of the given numbers is 2 x 89 x 44 x 425 = 3328600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3328600
Therefore, the GCF of Fractions 379/89,935/88,638/850 is 1/3328600
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 89,88,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,88,850) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,88,850) x common factors =1 x 2 = 2
LCM(89,88,850) = ( 89 × 88 × 850 ) / 2
LCM(89,88,850) = 6657200 / 2
LCM(89,88,850) = 3328600
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 379/89, 935/88, 638/850?
Answer: GCF of Numerators as per given numbers 379/89, 935/88, 638/850 is
GCF of Numerators i.e. for 379,935,638 is 1
LCM of denominators i.e. for 89,88,850 is 3328600.
Thus, GCF of Fractions is 1/3328600.Finally, GCF of Fractions for 379/89, 935/88, 638/850 is 1/3328600.