GCF of 4662/605, 3777/4153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4662/605, 3777/4153 i.e 3/2512565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4662/605, 3777/4153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4662/605,3777/4153?
Given fractions are 4662/605,3777/4153
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 4662/605,3777/4153, numerators are 4662,3777
Denominators are 605,4153
The GCF of 4662,3777 is 3 .
LCM of 605,4153 is 2512565.
The greatest common factor of 4662/605,3777/4153 = [GCF of 4662,3777]/[LCM of 605,4153]= 3/2512565
Therefore, the GCF of 4662/605,3777/4153 is 3/2512565.
To find the highest common factor of 4662,3777, we have to find the factors of both numbers and list the highest common factor.
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The factors of 3777 are 1, 3, 1259, 3777
The HCF of 4662,3777 is 3.
Lets's calculate GCF of 4662,3777
| 3 | 4662, 3777 |
| 1554, 1259 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4662,3777 By Matching Biggest Common Factor Method
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Now, list down the factors of 3777
:1,3,1259,3777
Greatest Common Factor
We found the factors 4662,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 4662,3777 is 3.
Lets's calculate LCM of 605,4153
Given numbers has no common factors except 1. So, there LCM is their product i.e 2512565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2512565
Therefore, the GCF of Fractions 4662/605,3777/4153 is 3/2512565
Least Common Multiple of 605,4153 with GCF Formula
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 605,4153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,4153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,4153) x common factors =1 x 1 = 1
LCM(605,4153) = ( 605 × 4153 ) / 1
LCM(605,4153) = 2512565 / 1
LCM(605,4153) = 2512565
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4662/605, 3777/4153
1. What is the HCF of 4662,3777?
The HCF of 4662,3777 is 3
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 4662/605, 3777/4153?
Answer: GCF of Numerators as per given numbers 4662/605, 3777/4153 is
GCF of Numerators i.e. for 4662,3777 is 3
LCM of denominators i.e. for 605,4153 is 2512565.
Thus, GCF of Fractions is 3/2512565.Finally, GCF of Fractions for 4662/605, 3777/4153 is 3/2512565.