GCF of 4662/460, 8302/4773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4662/460, 8302/4773 i.e 14/2195580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4662/460, 8302/4773.
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 4662/460,8302/4773?
Given fractions are 4662/460,8302/4773
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 4662/460,8302/4773, numerators are 4662,8302
Denominators are 460,4773
The GCF of 4662,8302 is 14 .
LCM of 460,4773 is 2195580.
The greatest common factor of 4662/460,8302/4773 = [GCF of 4662,8302]/[LCM of 460,4773]= 14/2195580
Therefore, the GCF of 4662/460,8302/4773 is 14/2195580.
To find the highest common factor of 4662,8302, 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 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The HCF of 4662,8302 is 14.
Lets's calculate GCF of 4662,8302
| 2 | 4662, 8302 |
| 7 | 2331, 4151 |
| 333, 593 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4662,8302 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 8302
:1,2,7,14,593,1186,4151,8302
Greatest Common Factor
We found the factors 4662,8302 . The biggest common factor number is the GCF number.
So the greatest common factor 4662,8302 is 14.
Lets's calculate LCM of 460,4773
Given numbers has no common factors except 1. So, there LCM is their product i.e 2195580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2195580
Therefore, the GCF of Fractions 4662/460,8302/4773 is 14/2195580
Least Common Multiple of 460,4773 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 460,4773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,4773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,4773) x common factors =1 x 1 = 1
LCM(460,4773) = ( 460 × 4773 ) / 1
LCM(460,4773) = 2195580 / 1
LCM(460,4773) = 2195580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4662/460, 8302/4773
1. What is the HCF of 4662,8302?
The HCF of 4662,8302 is 14
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 4662/460, 8302/4773?
Answer: GCF of Numerators as per given numbers 4662/460, 8302/4773 is
GCF of Numerators i.e. for 4662,8302 is 14
LCM of denominators i.e. for 460,4773 is 2195580.
Thus, GCF of Fractions is 14/2195580.Finally, GCF of Fractions for 4662/460, 8302/4773 is 14/2195580.