GCF of 6005/676, 2105/3199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6005/676, 2105/3199 i.e 5/2162524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6005/676, 2105/3199.
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 6005/676,2105/3199?
Given fractions are 6005/676,2105/3199
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 6005/676,2105/3199, numerators are 6005,2105
Denominators are 676,3199
The GCF of 6005,2105 is 5 .
LCM of 676,3199 is 2162524.
The greatest common factor of 6005/676,2105/3199 = [GCF of 6005,2105]/[LCM of 676,3199]= 5/2162524
Therefore, the GCF of 6005/676,2105/3199 is 5/2162524.
To find the highest common factor of 6005,2105, we have to find the factors of both numbers and list the highest common factor.
The factors of 6005 are 1, 5, 1201, 6005
The factors of 2105 are 1, 5, 421, 2105
The HCF of 6005,2105 is 5.
Lets's calculate GCF of 6005,2105
| 5 | 6005, 2105 |
| 1201, 421 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6005,2105 By Matching Biggest Common Factor Method
Now, list down the factors of 6005
:1,5,1201,6005
Now, list down the factors of 2105
:1,5,421,2105
Greatest Common Factor
We found the factors 6005,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 6005,2105 is 5.
Lets's calculate LCM of 676,3199
Given numbers has no common factors except 1. So, there LCM is their product i.e 2162524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2162524
Therefore, the GCF of Fractions 6005/676,2105/3199 is 5/2162524
Least Common Multiple of 676,3199 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 676,3199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,3199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,3199) x common factors =1 x 1 = 1
LCM(676,3199) = ( 676 × 3199 ) / 1
LCM(676,3199) = 2162524 / 1
LCM(676,3199) = 2162524
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FAQs on GCF of Fractions of 6005/676, 2105/3199
1. What is the HCF of 6005,2105?
The HCF of 6005,2105 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 6005/676, 2105/3199?
Answer: GCF of Numerators as per given numbers 6005/676, 2105/3199 is
GCF of Numerators i.e. for 6005,2105 is 5
LCM of denominators i.e. for 676,3199 is 2162524.
Thus, GCF of Fractions is 5/2162524.Finally, GCF of Fractions for 6005/676, 2105/3199 is 5/2162524.