Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/328,558/916,819/739
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 638,558,819
Greatest Common Factor of Numerators i.e. GCF of 638,558,819 is 1 .
LCM of Denominators means LCM of 328,916,739 as per the given fractions.
LCM of 328,916,739 is 55507768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,558,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 638,558,819 . The biggest common factor number is the GCF number.
So the greatest common factor 638,558,819 is 1.
Lets's calculate LCM of 328,916,739
2 | 328, 916, 739 |
2 | 164, 458, 739 |
82, 229, 739 |
∴ So the LCM of the given numbers is 2 x 2 x 82 x 229 x 739 = 55507768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55507768
Therefore, the GCF of Fractions 638/328,558/916,819/739 is 1/55507768
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 328,916,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,916,739) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(328,916,739) x common factors =1 x 4 = 4
LCM(328,916,739) = ( 328 × 916 × 739 ) / 4
LCM(328,916,739) = 222031072 / 4
LCM(328,916,739) = 55507768
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 638/328, 558/916, 819/739?
Answer: GCF of Numerators as per given numbers 638/328, 558/916, 819/739 is
GCF of Numerators i.e. for 638,558,819 is 1
LCM of denominators i.e. for 328,916,739 is 55507768.
Thus, GCF of Fractions is 1/55507768.Finally, GCF of Fractions for 638/328, 558/916, 819/739 is 1/55507768.