Use our free GCF of Fractions Calculator tool to compute the GCF of 4769/723, 5377/6850 i.e 19/4952550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4769/723, 5377/6850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4769/723,5377/6850
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 4769/723,5377/6850, numerators are 4769,5377
Denominators are 723,6850
The GCF of 4769,5377 is 19 .
LCM of 723,6850 is 4952550.
The greatest common factor of 4769/723,5377/6850 = [GCF of 4769,5377]/[LCM of 723,6850]= 19/4952550
Therefore, the GCF of 4769/723,5377/6850 is 19/4952550.
To find the highest common factor of 4769,5377, we have to find the factors of both numbers and list the highest common factor.
The factors of 4769 are 1, 19, 251, 4769
The factors of 5377 are 1, 19, 283, 5377
The HCF of 4769,5377 is 19.
Lets's calculate GCF of 4769,5377
19 | 4769, 5377 |
251, 283 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 4769
:1,19,251,4769
Now, list down the factors of 5377
:1,19,283,5377
Greatest Common Factor
We found the factors 4769,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 4769,5377 is 19.
Lets's calculate LCM of 723,6850
Given numbers has no common factors except 1. So, there LCM is their product i.e 4952550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4952550
Therefore, the GCF of Fractions 4769/723,5377/6850 is 19/4952550
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 723,6850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,6850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,6850) x common factors =1 x 1 = 1
LCM(723,6850) = ( 723 × 6850 ) / 1
LCM(723,6850) = 4952550 / 1
LCM(723,6850) = 4952550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4769,5377?
The HCF of 4769,5377 is 19
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 4769/723, 5377/6850?
Answer: GCF of Numerators as per given numbers 4769/723, 5377/6850 is
GCF of Numerators i.e. for 4769,5377 is 19
LCM of denominators i.e. for 723,6850 is 4952550.
Thus, GCF of Fractions is 19/4952550.Finally, GCF of Fractions for 4769/723, 5377/6850 is 19/4952550.