Use our free GCF of Fractions Calculator tool to compute the GCF of 523/383, 616/213 i.e 1/81579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/383, 616/213.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 523/383,616/213
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 523/383,616/213, numerators are 523,616
Denominators are 383,213
The GCF of 523,616 is 1 .
LCM of 383,213 is 81579.
The greatest common factor of 523/383,616/213 = [GCF of 523,616]/[LCM of 383,213]= 1/81579
Therefore, the GCF of 523/383,616/213 is 1/81579.
To find the highest common factor of 523,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 523 are 1, 523
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 523,616 is 1.
Lets's calculate GCF of 523,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 523
:1,523
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 523,616 . The biggest common factor number is the GCF number.
So the greatest common factor 523,616 is 1.
Lets's calculate LCM of 383,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 81579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81579
Therefore, the GCF of Fractions 523/383,616/213 is 1/81579
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 383,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,213) x common factors =1 x 1 = 1
LCM(383,213) = ( 383 × 213 ) / 1
LCM(383,213) = 81579 / 1
LCM(383,213) = 81579
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 523,616?
The HCF of 523,616 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 523/383, 616/213?
Answer: GCF of Numerators as per given numbers 523/383, 616/213 is
GCF of Numerators i.e. for 523,616 is 1
LCM of denominators i.e. for 383,213 is 81579.
Thus, GCF of Fractions is 1/81579.Finally, GCF of Fractions for 523/383, 616/213 is 1/81579.