GCF of 7046/273, 1620/9971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7046/273, 1620/9971 i.e 2/209391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7046/273, 1620/9971.
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 7046/273,1620/9971?
Given fractions are 7046/273,1620/9971
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 7046/273,1620/9971, numerators are 7046,1620
Denominators are 273,9971
The GCF of 7046,1620 is 2 .
LCM of 273,9971 is 209391.
The greatest common factor of 7046/273,1620/9971 = [GCF of 7046,1620]/[LCM of 273,9971]= 2/209391
Therefore, the GCF of 7046/273,1620/9971 is 2/209391.
To find the highest common factor of 7046,1620, we have to find the factors of both numbers and list the highest common factor.
The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The HCF of 7046,1620 is 2.
Lets's calculate GCF of 7046,1620
| 2 | 7046, 1620 |
| 3523, 810 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7046,1620 By Matching Biggest Common Factor Method
Now, list down the factors of 7046
:1,2,13,26,271,542,3523,7046
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Greatest Common Factor
We found the factors 7046,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 7046,1620 is 2.
Lets's calculate LCM of 273,9971
| 13 | 273, 9971 |
| 21, 767 |
∴ So the LCM of the given numbers is 13 x 21 x 767 = 209391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209391
Therefore, the GCF of Fractions 7046/273,1620/9971 is 2/209391
Least Common Multiple of 273,9971 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 273,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,9971) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(273,9971) x common factors =13 x 1 = 13
LCM(273,9971) = ( 273 × 9971 ) / 13
LCM(273,9971) = 2722083 / 13
LCM(273,9971) = 209391
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7046/273, 1620/9971
1. What is the HCF of 7046,1620?
The HCF of 7046,1620 is 2
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 7046/273, 1620/9971?
Answer: GCF of Numerators as per given numbers 7046/273, 1620/9971 is
GCF of Numerators i.e. for 7046,1620 is 2
LCM of denominators i.e. for 273,9971 is 209391.
Thus, GCF of Fractions is 2/209391.Finally, GCF of Fractions for 7046/273, 1620/9971 is 2/209391.