GCF of 6641/592, 9422/6024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6641/592, 9422/6024 i.e 1/445776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6641/592, 9422/6024.
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 6641/592,9422/6024?
Given fractions are 6641/592,9422/6024
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 6641/592,9422/6024, numerators are 6641,9422
Denominators are 592,6024
The GCF of 6641,9422 is 1 .
LCM of 592,6024 is 445776.
The greatest common factor of 6641/592,9422/6024 = [GCF of 6641,9422]/[LCM of 592,6024]= 1/445776
Therefore, the GCF of 6641/592,9422/6024 is 1/445776.
To find the highest common factor of 6641,9422, we have to find the factors of both numbers and list the highest common factor.
The factors of 6641 are 1, 29, 229, 6641
The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422
The HCF of 6641,9422 is 1.
Lets's calculate GCF of 6641,9422
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6641,9422 By Matching Biggest Common Factor Method
Now, list down the factors of 6641
:1,29,229,6641
Now, list down the factors of 9422
:1,2,7,14,673,1346,4711,9422
Greatest Common Factor
We found the factors 6641,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 6641,9422 is 1.
Lets's calculate LCM of 592,6024
| 2 | 592, 6024 |
| 2 | 296, 3012 |
| 2 | 148, 1506 |
| 74, 753 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 74 x 753 = 445776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445776
Therefore, the GCF of Fractions 6641/592,9422/6024 is 1/445776
Least Common Multiple of 592,6024 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 592,6024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,6024) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(592,6024) x common factors =8 x 1 = 8
LCM(592,6024) = ( 592 × 6024 ) / 8
LCM(592,6024) = 3566208 / 8
LCM(592,6024) = 445776
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6641/592, 9422/6024
1. What is the HCF of 6641,9422?
The HCF of 6641,9422 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 6641/592, 9422/6024?
Answer: GCF of Numerators as per given numbers 6641/592, 9422/6024 is
GCF of Numerators i.e. for 6641,9422 is 1
LCM of denominators i.e. for 592,6024 is 445776.
Thus, GCF of Fractions is 1/445776.Finally, GCF of Fractions for 6641/592, 9422/6024 is 1/445776.