GCF of 6541/665, 5775/3000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6541/665, 5775/3000 i.e 1/399000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6541/665, 5775/3000.
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 6541/665,5775/3000?
Given fractions are 6541/665,5775/3000
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 6541/665,5775/3000, numerators are 6541,5775
Denominators are 665,3000
The GCF of 6541,5775 is 1 .
LCM of 665,3000 is 399000.
The greatest common factor of 6541/665,5775/3000 = [GCF of 6541,5775]/[LCM of 665,3000]= 1/399000
Therefore, the GCF of 6541/665,5775/3000 is 1/399000.
To find the highest common factor of 6541,5775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6541 are 1, 31, 211, 6541
The factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The HCF of 6541,5775 is 1.
Lets's calculate GCF of 6541,5775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6541,5775 By Matching Biggest Common Factor Method
Now, list down the factors of 6541
:1,31,211,6541
Now, list down the factors of 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 6541,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 6541,5775 is 1.
Lets's calculate LCM of 665,3000
| 5 | 665, 3000 |
| 133, 600 |
∴ So the LCM of the given numbers is 5 x 133 x 600 = 399000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399000
Therefore, the GCF of Fractions 6541/665,5775/3000 is 1/399000
Least Common Multiple of 665,3000 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 665,3000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,3000) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,3000) x common factors =5 x 1 = 5
LCM(665,3000) = ( 665 × 3000 ) / 5
LCM(665,3000) = 1995000 / 5
LCM(665,3000) = 399000
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FAQs on GCF of Fractions of 6541/665, 5775/3000
1. What is the HCF of 6541,5775?
The HCF of 6541,5775 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 6541/665, 5775/3000?
Answer: GCF of Numerators as per given numbers 6541/665, 5775/3000 is
GCF of Numerators i.e. for 6541,5775 is 1
LCM of denominators i.e. for 665,3000 is 399000.
Thus, GCF of Fractions is 1/399000.Finally, GCF of Fractions for 6541/665, 5775/3000 is 1/399000.