GCF of 4193/730, 4062/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4193/730, 4062/722 i.e 1/263530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4193/730, 4062/722.
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 4193/730,4062/722?
Given fractions are 4193/730,4062/722
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 4193/730,4062/722, numerators are 4193,4062
Denominators are 730,722
The GCF of 4193,4062 is 1 .
LCM of 730,722 is 263530.
The greatest common factor of 4193/730,4062/722 = [GCF of 4193,4062]/[LCM of 730,722]= 1/263530
Therefore, the GCF of 4193/730,4062/722 is 1/263530.
To find the highest common factor of 4193,4062, we have to find the factors of both numbers and list the highest common factor.
The factors of 4193 are 1, 7, 599, 4193
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The HCF of 4193,4062 is 1.
Lets's calculate GCF of 4193,4062
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4193,4062 By Matching Biggest Common Factor Method
Now, list down the factors of 4193
:1,7,599,4193
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Greatest Common Factor
We found the factors 4193,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 4193,4062 is 1.
Lets's calculate LCM of 730,722
| 2 | 730, 722 |
| 365, 361 |
∴ So the LCM of the given numbers is 2 x 365 x 361 = 263530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263530
Therefore, the GCF of Fractions 4193/730,4062/722 is 1/263530
Least Common Multiple of 730,722 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 730,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,722) x common factors =2 x 1 = 2
LCM(730,722) = ( 730 × 722 ) / 2
LCM(730,722) = 527060 / 2
LCM(730,722) = 263530
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FAQs on GCF of Fractions of 4193/730, 4062/722
1. What is the HCF of 4193,4062?
The HCF of 4193,4062 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 4193/730, 4062/722?
Answer: GCF of Numerators as per given numbers 4193/730, 4062/722 is
GCF of Numerators i.e. for 4193,4062 is 1
LCM of denominators i.e. for 730,722 is 263530.
Thus, GCF of Fractions is 1/263530.Finally, GCF of Fractions for 4193/730, 4062/722 is 1/263530.