GCF of 3435/728, 4836/1730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/728, 4836/1730 i.e 3/629720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/728, 4836/1730.
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 3435/728,4836/1730?
Given fractions are 3435/728,4836/1730
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 3435/728,4836/1730, numerators are 3435,4836
Denominators are 728,1730
The GCF of 3435,4836 is 3 .
LCM of 728,1730 is 629720.
The greatest common factor of 3435/728,4836/1730 = [GCF of 3435,4836]/[LCM of 728,1730]= 3/629720
Therefore, the GCF of 3435/728,4836/1730 is 3/629720.
To find the highest common factor of 3435,4836, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836
The HCF of 3435,4836 is 3.
Lets's calculate GCF of 3435,4836
| 3 | 3435, 4836 |
| 1145, 1612 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3435,4836 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 4836
:1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Greatest Common Factor
We found the factors 3435,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,4836 is 3.
Lets's calculate LCM of 728,1730
| 2 | 728, 1730 |
| 364, 865 |
∴ So the LCM of the given numbers is 2 x 364 x 865 = 629720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/629720
Therefore, the GCF of Fractions 3435/728,4836/1730 is 3/629720
Least Common Multiple of 728,1730 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 728,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,1730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,1730) x common factors =2 x 1 = 2
LCM(728,1730) = ( 728 × 1730 ) / 2
LCM(728,1730) = 1259440 / 2
LCM(728,1730) = 629720
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FAQs on GCF of Fractions of 3435/728, 4836/1730
1. What is the HCF of 3435,4836?
The HCF of 3435,4836 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 3435/728, 4836/1730?
Answer: GCF of Numerators as per given numbers 3435/728, 4836/1730 is
GCF of Numerators i.e. for 3435,4836 is 3
LCM of denominators i.e. for 728,1730 is 629720.
Thus, GCF of Fractions is 3/629720.Finally, GCF of Fractions for 3435/728, 4836/1730 is 3/629720.