GCF of 1605/160, 5812/5725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1605/160, 5812/5725 i.e 1/183200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1605/160, 5812/5725.
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 1605/160,5812/5725?
Given fractions are 1605/160,5812/5725
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 1605/160,5812/5725, numerators are 1605,5812
Denominators are 160,5725
The GCF of 1605,5812 is 1 .
LCM of 160,5725 is 183200.
The greatest common factor of 1605/160,5812/5725 = [GCF of 1605,5812]/[LCM of 160,5725]= 1/183200
Therefore, the GCF of 1605/160,5812/5725 is 1/183200.
To find the highest common factor of 1605,5812, we have to find the factors of both numbers and list the highest common factor.
The factors of 1605 are 1, 3, 5, 15, 107, 321, 535, 1605
The factors of 5812 are 1, 2, 4, 1453, 2906, 5812
The HCF of 1605,5812 is 1.
Lets's calculate GCF of 1605,5812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1605,5812 By Matching Biggest Common Factor Method
Now, list down the factors of 1605
:1,3,5,15,107,321,535,1605
Now, list down the factors of 5812
:1,2,4,1453,2906,5812
Greatest Common Factor
We found the factors 1605,5812 . The biggest common factor number is the GCF number.
So the greatest common factor 1605,5812 is 1.
Lets's calculate LCM of 160,5725
| 5 | 160, 5725 |
| 32, 1145 |
∴ So the LCM of the given numbers is 5 x 32 x 1145 = 183200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183200
Therefore, the GCF of Fractions 1605/160,5812/5725 is 1/183200
Least Common Multiple of 160,5725 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 160,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,5725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(160,5725) x common factors =5 x 1 = 5
LCM(160,5725) = ( 160 × 5725 ) / 5
LCM(160,5725) = 916000 / 5
LCM(160,5725) = 183200
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FAQs on GCF of Fractions of 1605/160, 5812/5725
1. What is the HCF of 1605,5812?
The HCF of 1605,5812 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 1605/160, 5812/5725?
Answer: GCF of Numerators as per given numbers 1605/160, 5812/5725 is
GCF of Numerators i.e. for 1605,5812 is 1
LCM of denominators i.e. for 160,5725 is 183200.
Thus, GCF of Fractions is 1/183200.Finally, GCF of Fractions for 1605/160, 5812/5725 is 1/183200.