GCF of 2095/730, 2005/6861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2095/730, 2005/6861 i.e 5/5008530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2095/730, 2005/6861.
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 2095/730,2005/6861?
Given fractions are 2095/730,2005/6861
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 2095/730,2005/6861, numerators are 2095,2005
Denominators are 730,6861
The GCF of 2095,2005 is 5 .
LCM of 730,6861 is 5008530.
The greatest common factor of 2095/730,2005/6861 = [GCF of 2095,2005]/[LCM of 730,6861]= 5/5008530
Therefore, the GCF of 2095/730,2005/6861 is 5/5008530.
To find the highest common factor of 2095,2005, we have to find the factors of both numbers and list the highest common factor.
The factors of 2095 are 1, 5, 419, 2095
The factors of 2005 are 1, 5, 401, 2005
The HCF of 2095,2005 is 5.
Lets's calculate GCF of 2095,2005
| 5 | 2095, 2005 |
| 419, 401 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2095,2005 By Matching Biggest Common Factor Method
Now, list down the factors of 2095
:1,5,419,2095
Now, list down the factors of 2005
:1,5,401,2005
Greatest Common Factor
We found the factors 2095,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 2095,2005 is 5.
Lets's calculate LCM of 730,6861
Given numbers has no common factors except 1. So, there LCM is their product i.e 5008530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5008530
Therefore, the GCF of Fractions 2095/730,2005/6861 is 5/5008530
Least Common Multiple of 730,6861 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 730,6861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,6861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,6861) x common factors =1 x 1 = 1
LCM(730,6861) = ( 730 × 6861 ) / 1
LCM(730,6861) = 5008530 / 1
LCM(730,6861) = 5008530
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FAQs on GCF of Fractions of 2095/730, 2005/6861
1. What is the HCF of 2095,2005?
The HCF of 2095,2005 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 2095/730, 2005/6861?
Answer: GCF of Numerators as per given numbers 2095/730, 2005/6861 is
GCF of Numerators i.e. for 2095,2005 is 5
LCM of denominators i.e. for 730,6861 is 5008530.
Thus, GCF of Fractions is 5/5008530.Finally, GCF of Fractions for 2095/730, 2005/6861 is 5/5008530.