GCF of 5655/145, 4750/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5655/145, 4750/3405 i.e 5/98745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5655/145, 4750/3405.
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 5655/145,4750/3405?
Given fractions are 5655/145,4750/3405
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 5655/145,4750/3405, numerators are 5655,4750
Denominators are 145,3405
The GCF of 5655,4750 is 5 .
LCM of 145,3405 is 98745.
The greatest common factor of 5655/145,4750/3405 = [GCF of 5655,4750]/[LCM of 145,3405]= 5/98745
Therefore, the GCF of 5655/145,4750/3405 is 5/98745.
To find the highest common factor of 5655,4750, we have to find the factors of both numbers and list the highest common factor.
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750
The HCF of 5655,4750 is 5.
Lets's calculate GCF of 5655,4750
| 5 | 5655, 4750 |
| 1131, 950 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5655,4750 By Matching Biggest Common Factor Method
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Now, list down the factors of 4750
:1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Greatest Common Factor
We found the factors 5655,4750 . The biggest common factor number is the GCF number.
So the greatest common factor 5655,4750 is 5.
Lets's calculate LCM of 145,3405
| 5 | 145, 3405 |
| 29, 681 |
∴ So the LCM of the given numbers is 5 x 29 x 681 = 98745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/98745
Therefore, the GCF of Fractions 5655/145,4750/3405 is 5/98745
Least Common Multiple of 145,3405 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 145,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,3405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(145,3405) x common factors =5 x 1 = 5
LCM(145,3405) = ( 145 × 3405 ) / 5
LCM(145,3405) = 493725 / 5
LCM(145,3405) = 98745
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FAQs on GCF of Fractions of 5655/145, 4750/3405
1. What is the HCF of 5655,4750?
The HCF of 5655,4750 is 5
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 5655/145, 4750/3405?
Answer: GCF of Numerators as per given numbers 5655/145, 4750/3405 is
GCF of Numerators i.e. for 5655,4750 is 5
LCM of denominators i.e. for 145,3405 is 98745.
Thus, GCF of Fractions is 5/98745.Finally, GCF of Fractions for 5655/145, 4750/3405 is 5/98745.