Use our free GCF of Fractions Calculator tool to compute the GCF of 4738/209, 6803/1877 i.e 1/392293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/209, 6803/1877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4738/209,6803/1877
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 4738/209,6803/1877, numerators are 4738,6803
Denominators are 209,1877
The GCF of 4738,6803 is 1 .
LCM of 209,1877 is 392293.
The greatest common factor of 4738/209,6803/1877 = [GCF of 4738,6803]/[LCM of 209,1877]= 1/392293
Therefore, the GCF of 4738/209,6803/1877 is 1/392293.
To find the highest common factor of 4738,6803, 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 6803 are 1, 6803
The HCF of 4738,6803 is 1.
Lets's calculate GCF of 4738,6803
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Now, list down the factors of 6803
:1,6803
Greatest Common Factor
We found the factors 4738,6803 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,6803 is 1.
Lets's calculate LCM of 209,1877
Given numbers has no common factors except 1. So, there LCM is their product i.e 392293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392293
Therefore, the GCF of Fractions 4738/209,6803/1877 is 1/392293
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 209,1877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,1877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,1877) x common factors =1 x 1 = 1
LCM(209,1877) = ( 209 × 1877 ) / 1
LCM(209,1877) = 392293 / 1
LCM(209,1877) = 392293
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4738,6803?
The HCF of 4738,6803 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 4738/209, 6803/1877?
Answer: GCF of Numerators as per given numbers 4738/209, 6803/1877 is
GCF of Numerators i.e. for 4738,6803 is 1
LCM of denominators i.e. for 209,1877 is 392293.
Thus, GCF of Fractions is 1/392293.Finally, GCF of Fractions for 4738/209, 6803/1877 is 1/392293.