GCF of 6805/345, 5006/8095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/345, 5006/8095 i.e 1/558555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/345, 5006/8095.
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 6805/345,5006/8095?
Given fractions are 6805/345,5006/8095
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 6805/345,5006/8095, numerators are 6805,5006
Denominators are 345,8095
The GCF of 6805,5006 is 1 .
LCM of 345,8095 is 558555.
The greatest common factor of 6805/345,5006/8095 = [GCF of 6805,5006]/[LCM of 345,8095]= 1/558555
Therefore, the GCF of 6805/345,5006/8095 is 1/558555.
To find the highest common factor of 6805,5006, we have to find the factors of both numbers and list the highest common factor.
The factors of 6805 are 1, 5, 1361, 6805
The factors of 5006 are 1, 2, 2503, 5006
The HCF of 6805,5006 is 1.
Lets's calculate GCF of 6805,5006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6805,5006 By Matching Biggest Common Factor Method
Now, list down the factors of 6805
:1,5,1361,6805
Now, list down the factors of 5006
:1,2,2503,5006
Greatest Common Factor
We found the factors 6805,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,5006 is 1.
Lets's calculate LCM of 345,8095
| 5 | 345, 8095 |
| 69, 1619 |
∴ So the LCM of the given numbers is 5 x 69 x 1619 = 558555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558555
Therefore, the GCF of Fractions 6805/345,5006/8095 is 1/558555
Least Common Multiple of 345,8095 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 345,8095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,8095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(345,8095) x common factors =5 x 1 = 5
LCM(345,8095) = ( 345 × 8095 ) / 5
LCM(345,8095) = 2792775 / 5
LCM(345,8095) = 558555
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FAQs on GCF of Fractions of 6805/345, 5006/8095
1. What is the HCF of 6805,5006?
The HCF of 6805,5006 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 6805/345, 5006/8095?
Answer: GCF of Numerators as per given numbers 6805/345, 5006/8095 is
GCF of Numerators i.e. for 6805,5006 is 1
LCM of denominators i.e. for 345,8095 is 558555.
Thus, GCF of Fractions is 1/558555.Finally, GCF of Fractions for 6805/345, 5006/8095 is 1/558555.