Use our free GCF of Fractions Calculator tool to compute the GCF of 4738/385, 6598/7391 i.e 2/2845535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/385, 6598/7391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4738/385,6598/7391
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 4738/385,6598/7391, numerators are 4738,6598
Denominators are 385,7391
The GCF of 4738,6598 is 2 .
LCM of 385,7391 is 2845535.
The greatest common factor of 4738/385,6598/7391 = [GCF of 4738,6598]/[LCM of 385,7391]= 2/2845535
Therefore, the GCF of 4738/385,6598/7391 is 2/2845535.
To find the highest common factor of 4738,6598, we have to find the factors of both numbers and list the highest common factor.
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The factors of 6598 are 1, 2, 3299, 6598
The HCF of 4738,6598 is 2.
Lets's calculate GCF of 4738,6598
2 | 4738, 6598 |
2369, 3299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Now, list down the factors of 6598
:1,2,3299,6598
Greatest Common Factor
We found the factors 4738,6598 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,6598 is 2.
Lets's calculate LCM of 385,7391
Given numbers has no common factors except 1. So, there LCM is their product i.e 2845535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2845535
Therefore, the GCF of Fractions 4738/385,6598/7391 is 2/2845535
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 385,7391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7391) x common factors =1 x 1 = 1
LCM(385,7391) = ( 385 × 7391 ) / 1
LCM(385,7391) = 2845535 / 1
LCM(385,7391) = 2845535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4738,6598?
The HCF of 4738,6598 is 2
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 4738/385, 6598/7391?
Answer: GCF of Numerators as per given numbers 4738/385, 6598/7391 is
GCF of Numerators i.e. for 4738,6598 is 2
LCM of denominators i.e. for 385,7391 is 2845535.
Thus, GCF of Fractions is 2/2845535.Finally, GCF of Fractions for 4738/385, 6598/7391 is 2/2845535.