Use our free GCF of Fractions Calculator tool to compute the GCF of 377/319, 4756/5042 i.e 29/1608398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/319, 4756/5042.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 377/319,4756/5042
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 377/319,4756/5042, numerators are 377,4756
Denominators are 319,5042
The GCF of 377,4756 is 29 .
LCM of 319,5042 is 1608398.
The greatest common factor of 377/319,4756/5042 = [GCF of 377,4756]/[LCM of 319,5042]= 29/1608398
Therefore, the GCF of 377/319,4756/5042 is 29/1608398.
To find the highest common factor of 377,4756, we have to find the factors of both numbers and list the highest common factor.
The factors of 377 are 1, 13, 29, 377
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The HCF of 377,4756 is 29.
Lets's calculate GCF of 377,4756
29 | 377, 4756 |
13, 164 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Greatest Common Factor
We found the factors 377,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 377,4756 is 29.
Lets's calculate LCM of 319,5042
Given numbers has no common factors except 1. So, there LCM is their product i.e 1608398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1608398
Therefore, the GCF of Fractions 377/319,4756/5042 is 29/1608398
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 319,5042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,5042) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,5042) x common factors =1 x 1 = 1
LCM(319,5042) = ( 319 × 5042 ) / 1
LCM(319,5042) = 1608398 / 1
LCM(319,5042) = 1608398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 377,4756?
The HCF of 377,4756 is 29
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 377/319, 4756/5042?
Answer: GCF of Numerators as per given numbers 377/319, 4756/5042 is
GCF of Numerators i.e. for 377,4756 is 29
LCM of denominators i.e. for 319,5042 is 1608398.
Thus, GCF of Fractions is 29/1608398.Finally, GCF of Fractions for 377/319, 4756/5042 is 29/1608398.