GCF of 1728/636, 5735/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1728/636, 5735/3940 i.e 1/626460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1728/636, 5735/3940.
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 1728/636,5735/3940?
Given fractions are 1728/636,5735/3940
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 1728/636,5735/3940, numerators are 1728,5735
Denominators are 636,3940
The GCF of 1728,5735 is 1 .
LCM of 636,3940 is 626460.
The greatest common factor of 1728/636,5735/3940 = [GCF of 1728,5735]/[LCM of 636,3940]= 1/626460
Therefore, the GCF of 1728/636,5735/3940 is 1/626460.
To find the highest common factor of 1728,5735, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735
The HCF of 1728,5735 is 1.
Lets's calculate GCF of 1728,5735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1728,5735 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5735
:1,5,31,37,155,185,1147,5735
Greatest Common Factor
We found the factors 1728,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 1728,5735 is 1.
Lets's calculate LCM of 636,3940
| 2 | 636, 3940 |
| 2 | 318, 1970 |
| 159, 985 |
∴ So the LCM of the given numbers is 2 x 2 x 159 x 985 = 626460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626460
Therefore, the GCF of Fractions 1728/636,5735/3940 is 1/626460
Least Common Multiple of 636,3940 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 636,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3940) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3940) x common factors =4 x 1 = 4
LCM(636,3940) = ( 636 × 3940 ) / 4
LCM(636,3940) = 2505840 / 4
LCM(636,3940) = 626460
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FAQs on GCF of Fractions of 1728/636, 5735/3940
1. What is the HCF of 1728,5735?
The HCF of 1728,5735 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 1728/636, 5735/3940?
Answer: GCF of Numerators as per given numbers 1728/636, 5735/3940 is
GCF of Numerators i.e. for 1728,5735 is 1
LCM of denominators i.e. for 636,3940 is 626460.
Thus, GCF of Fractions is 1/626460.Finally, GCF of Fractions for 1728/636, 5735/3940 is 1/626460.