GCF of 4690/355, 1728/9648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4690/355, 1728/9648 i.e 2/3425040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4690/355, 1728/9648.
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 4690/355,1728/9648?
Given fractions are 4690/355,1728/9648
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 4690/355,1728/9648, numerators are 4690,1728
Denominators are 355,9648
The GCF of 4690,1728 is 2 .
LCM of 355,9648 is 3425040.
The greatest common factor of 4690/355,1728/9648 = [GCF of 4690,1728]/[LCM of 355,9648]= 2/3425040
Therefore, the GCF of 4690/355,1728/9648 is 2/3425040.
To find the highest common factor of 4690,1728, we have to find the factors of both numbers and list the highest common factor.
The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690
The factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
The HCF of 4690,1728 is 2.
Lets's calculate GCF of 4690,1728
| 2 | 4690, 1728 |
| 2345, 864 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4690,1728 By Matching Biggest Common Factor Method
Now, list down the factors of 4690
:1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Now, list down the factors of 1728
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Greatest Common Factor
We found the factors 4690,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,1728 is 2.
Lets's calculate LCM of 355,9648
Given numbers has no common factors except 1. So, there LCM is their product i.e 3425040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3425040
Therefore, the GCF of Fractions 4690/355,1728/9648 is 2/3425040
Least Common Multiple of 355,9648 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 355,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,9648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,9648) x common factors =1 x 1 = 1
LCM(355,9648) = ( 355 × 9648 ) / 1
LCM(355,9648) = 3425040 / 1
LCM(355,9648) = 3425040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4690/355, 1728/9648
1. What is the HCF of 4690,1728?
The HCF of 4690,1728 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 4690/355, 1728/9648?
Answer: GCF of Numerators as per given numbers 4690/355, 1728/9648 is
GCF of Numerators i.e. for 4690,1728 is 2
LCM of denominators i.e. for 355,9648 is 3425040.
Thus, GCF of Fractions is 2/3425040.Finally, GCF of Fractions for 4690/355, 1728/9648 is 2/3425040.