GCF of 6665/160, 3209/3925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6665/160, 3209/3925 i.e 1/125600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6665/160, 3209/3925.
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 6665/160,3209/3925?
Given fractions are 6665/160,3209/3925
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 6665/160,3209/3925, numerators are 6665,3209
Denominators are 160,3925
The GCF of 6665,3209 is 1 .
LCM of 160,3925 is 125600.
The greatest common factor of 6665/160,3209/3925 = [GCF of 6665,3209]/[LCM of 160,3925]= 1/125600
Therefore, the GCF of 6665/160,3209/3925 is 1/125600.
To find the highest common factor of 6665,3209, we have to find the factors of both numbers and list the highest common factor.
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The factors of 3209 are 1, 3209
The HCF of 6665,3209 is 1.
Lets's calculate GCF of 6665,3209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6665,3209 By Matching Biggest Common Factor Method
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Now, list down the factors of 3209
:1,3209
Greatest Common Factor
We found the factors 6665,3209 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,3209 is 1.
Lets's calculate LCM of 160,3925
| 5 | 160, 3925 |
| 32, 785 |
∴ So the LCM of the given numbers is 5 x 32 x 785 = 125600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125600
Therefore, the GCF of Fractions 6665/160,3209/3925 is 1/125600
Least Common Multiple of 160,3925 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 160,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,3925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(160,3925) x common factors =5 x 1 = 5
LCM(160,3925) = ( 160 × 3925 ) / 5
LCM(160,3925) = 628000 / 5
LCM(160,3925) = 125600
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FAQs on GCF of Fractions of 6665/160, 3209/3925
1. What is the HCF of 6665,3209?
The HCF of 6665,3209 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 6665/160, 3209/3925?
Answer: GCF of Numerators as per given numbers 6665/160, 3209/3925 is
GCF of Numerators i.e. for 6665,3209 is 1
LCM of denominators i.e. for 160,3925 is 125600.
Thus, GCF of Fractions is 1/125600.Finally, GCF of Fractions for 6665/160, 3209/3925 is 1/125600.