GCF of 9849/321, 8040/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9849/321, 8040/454 i.e 201/145734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9849/321, 8040/454.
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 9849/321,8040/454?
Given fractions are 9849/321,8040/454
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 9849/321,8040/454, numerators are 9849,8040
Denominators are 321,454
The GCF of 9849,8040 is 201 .
LCM of 321,454 is 145734.
The greatest common factor of 9849/321,8040/454 = [GCF of 9849,8040]/[LCM of 321,454]= 201/145734
Therefore, the GCF of 9849/321,8040/454 is 201/145734.
To find the highest common factor of 9849,8040, we have to find the factors of both numbers and list the highest common factor.
The factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The HCF of 9849,8040 is 201.
Lets's calculate GCF of 9849,8040
| 3 | 9849, 8040 |
| 67 | 3283, 2680 |
| 49, 40 |
∴ So the GCF of the given numbers is 3 x 67 = 201
Greatest Common Factor of 9849,8040 By Matching Biggest Common Factor Method
Now, list down the factors of 9849
:1,3,7,21,49,67,147,201,469,1407,3283,9849
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors 9849,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,8040 is 201.
Lets's calculate LCM of 321,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 145734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 201/145734
Therefore, the GCF of Fractions 9849/321,8040/454 is 201/145734
Least Common Multiple of 321,454 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 321,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,454) x common factors =1 x 1 = 1
LCM(321,454) = ( 321 × 454 ) / 1
LCM(321,454) = 145734 / 1
LCM(321,454) = 145734
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9849/321, 8040/454
1. What is the HCF of 9849,8040?
The HCF of 9849,8040 is 201
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 9849/321, 8040/454?
Answer: GCF of Numerators as per given numbers 9849/321, 8040/454 is
GCF of Numerators i.e. for 9849,8040 is 201
LCM of denominators i.e. for 321,454 is 145734.
Thus, GCF of Fractions is 201/145734.Finally, GCF of Fractions for 9849/321, 8040/454 is 201/145734.