GCF of 8049/364, 6145/6122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8049/364, 6145/6122 i.e 1/1114204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8049/364, 6145/6122.
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 8049/364,6145/6122?
Given fractions are 8049/364,6145/6122
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 8049/364,6145/6122, numerators are 8049,6145
Denominators are 364,6122
The GCF of 8049,6145 is 1 .
LCM of 364,6122 is 1114204.
The greatest common factor of 8049/364,6145/6122 = [GCF of 8049,6145]/[LCM of 364,6122]= 1/1114204
Therefore, the GCF of 8049/364,6145/6122 is 1/1114204.
To find the highest common factor of 8049,6145, we have to find the factors of both numbers and list the highest common factor.
The factors of 8049 are 1, 3, 2683, 8049
The factors of 6145 are 1, 5, 1229, 6145
The HCF of 8049,6145 is 1.
Lets's calculate GCF of 8049,6145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8049,6145 By Matching Biggest Common Factor Method
Now, list down the factors of 8049
:1,3,2683,8049
Now, list down the factors of 6145
:1,5,1229,6145
Greatest Common Factor
We found the factors 8049,6145 . The biggest common factor number is the GCF number.
So the greatest common factor 8049,6145 is 1.
Lets's calculate LCM of 364,6122
| 2 | 364, 6122 |
| 182, 3061 |
∴ So the LCM of the given numbers is 2 x 182 x 3061 = 1114204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114204
Therefore, the GCF of Fractions 8049/364,6145/6122 is 1/1114204
Least Common Multiple of 364,6122 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 364,6122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,6122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,6122) x common factors =2 x 1 = 2
LCM(364,6122) = ( 364 × 6122 ) / 2
LCM(364,6122) = 2228408 / 2
LCM(364,6122) = 1114204
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8049/364, 6145/6122
1. What is the HCF of 8049,6145?
The HCF of 8049,6145 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 8049/364, 6145/6122?
Answer: GCF of Numerators as per given numbers 8049/364, 6145/6122 is
GCF of Numerators i.e. for 8049,6145 is 1
LCM of denominators i.e. for 364,6122 is 1114204.
Thus, GCF of Fractions is 1/1114204.Finally, GCF of Fractions for 8049/364, 6145/6122 is 1/1114204.