GCF of 4203/730, 7407/541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4203/730, 7407/541 i.e 9/394930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4203/730, 7407/541.
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 4203/730,7407/541?
Given fractions are 4203/730,7407/541
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 4203/730,7407/541, numerators are 4203,7407
Denominators are 730,541
The GCF of 4203,7407 is 9 .
LCM of 730,541 is 394930.
The greatest common factor of 4203/730,7407/541 = [GCF of 4203,7407]/[LCM of 730,541]= 9/394930
Therefore, the GCF of 4203/730,7407/541 is 9/394930.
To find the highest common factor of 4203,7407, we have to find the factors of both numbers and list the highest common factor.
The factors of 4203 are 1, 3, 9, 467, 1401, 4203
The factors of 7407 are 1, 3, 9, 823, 2469, 7407
The HCF of 4203,7407 is 9.
Lets's calculate GCF of 4203,7407
| 3 | 4203, 7407 |
| 3 | 1401, 2469 |
| 467, 823 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4203,7407 By Matching Biggest Common Factor Method
Now, list down the factors of 4203
:1,3,9,467,1401,4203
Now, list down the factors of 7407
:1,3,9,823,2469,7407
Greatest Common Factor
We found the factors 4203,7407 . The biggest common factor number is the GCF number.
So the greatest common factor 4203,7407 is 9.
Lets's calculate LCM of 730,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 394930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/394930
Therefore, the GCF of Fractions 4203/730,7407/541 is 9/394930
Least Common Multiple of 730,541 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 730,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,541) x common factors =1 x 1 = 1
LCM(730,541) = ( 730 × 541 ) / 1
LCM(730,541) = 394930 / 1
LCM(730,541) = 394930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4203/730, 7407/541
1. What is the HCF of 4203,7407?
The HCF of 4203,7407 is 9
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 4203/730, 7407/541?
Answer: GCF of Numerators as per given numbers 4203/730, 7407/541 is
GCF of Numerators i.e. for 4203,7407 is 9
LCM of denominators i.e. for 730,541 is 394930.
Thus, GCF of Fractions is 9/394930.Finally, GCF of Fractions for 4203/730, 7407/541 is 9/394930.