GCF of 1478/406, 2891/2001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1478/406, 2891/2001 i.e 1/28014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1478/406, 2891/2001.
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 1478/406,2891/2001?
Given fractions are 1478/406,2891/2001
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 1478/406,2891/2001, numerators are 1478,2891
Denominators are 406,2001
The GCF of 1478,2891 is 1 .
LCM of 406,2001 is 28014.
The greatest common factor of 1478/406,2891/2001 = [GCF of 1478,2891]/[LCM of 406,2001]= 1/28014
Therefore, the GCF of 1478/406,2891/2001 is 1/28014.
To find the highest common factor of 1478,2891, we have to find the factors of both numbers and list the highest common factor.
The factors of 1478 are 1, 2, 739, 1478
The factors of 2891 are 1, 7, 49, 59, 413, 2891
The HCF of 1478,2891 is 1.
Lets's calculate GCF of 1478,2891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1478,2891 By Matching Biggest Common Factor Method
Now, list down the factors of 1478
:1,2,739,1478
Now, list down the factors of 2891
:1,7,49,59,413,2891
Greatest Common Factor
We found the factors 1478,2891 . The biggest common factor number is the GCF number.
So the greatest common factor 1478,2891 is 1.
Lets's calculate LCM of 406,2001
| 29 | 406, 2001 |
| 14, 69 |
∴ So the LCM of the given numbers is 29 x 14 x 69 = 28014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28014
Therefore, the GCF of Fractions 1478/406,2891/2001 is 1/28014
Least Common Multiple of 406,2001 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 406,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,2001) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(406,2001) x common factors =29 x 1 = 29
LCM(406,2001) = ( 406 × 2001 ) / 29
LCM(406,2001) = 812406 / 29
LCM(406,2001) = 28014
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1478/406, 2891/2001
1. What is the HCF of 1478,2891?
The HCF of 1478,2891 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 1478/406, 2891/2001?
Answer: GCF of Numerators as per given numbers 1478/406, 2891/2001 is
GCF of Numerators i.e. for 1478,2891 is 1
LCM of denominators i.e. for 406,2001 is 28014.
Thus, GCF of Fractions is 1/28014.Finally, GCF of Fractions for 1478/406, 2891/2001 is 1/28014.