GCF of 4026/319, 6726/9401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4026/319, 6726/9401 i.e 6/2998919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4026/319, 6726/9401.
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 4026/319,6726/9401?
Given fractions are 4026/319,6726/9401
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 4026/319,6726/9401, numerators are 4026,6726
Denominators are 319,9401
The GCF of 4026,6726 is 6 .
LCM of 319,9401 is 2998919.
The greatest common factor of 4026/319,6726/9401 = [GCF of 4026,6726]/[LCM of 319,9401]= 6/2998919
Therefore, the GCF of 4026/319,6726/9401 is 6/2998919.
To find the highest common factor of 4026,6726, we have to find the factors of both numbers and list the highest common factor.
The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026
The factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726
The HCF of 4026,6726 is 6.
Lets's calculate GCF of 4026,6726
| 2 | 4026, 6726 |
| 3 | 2013, 3363 |
| 671, 1121 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4026,6726 By Matching Biggest Common Factor Method
Now, list down the factors of 4026
:1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026
Now, list down the factors of 6726
:1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Greatest Common Factor
We found the factors 4026,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 4026,6726 is 6.
Lets's calculate LCM of 319,9401
Given numbers has no common factors except 1. So, there LCM is their product i.e 2998919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2998919
Therefore, the GCF of Fractions 4026/319,6726/9401 is 6/2998919
Least Common Multiple of 319,9401 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 319,9401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,9401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,9401) x common factors =1 x 1 = 1
LCM(319,9401) = ( 319 × 9401 ) / 1
LCM(319,9401) = 2998919 / 1
LCM(319,9401) = 2998919
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4026/319, 6726/9401
1. What is the HCF of 4026,6726?
The HCF of 4026,6726 is 6
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 4026/319, 6726/9401?
Answer: GCF of Numerators as per given numbers 4026/319, 6726/9401 is
GCF of Numerators i.e. for 4026,6726 is 6
LCM of denominators i.e. for 319,9401 is 2998919.
Thus, GCF of Fractions is 6/2998919.Finally, GCF of Fractions for 4026/319, 6726/9401 is 6/2998919.