GCF of 7041/406, 4728/2364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7041/406, 4728/2364 i.e 3/479892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7041/406, 4728/2364.
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 7041/406,4728/2364?
Given fractions are 7041/406,4728/2364
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 7041/406,4728/2364, numerators are 7041,4728
Denominators are 406,2364
The GCF of 7041,4728 is 3 .
LCM of 406,2364 is 479892.
The greatest common factor of 7041/406,4728/2364 = [GCF of 7041,4728]/[LCM of 406,2364]= 3/479892
Therefore, the GCF of 7041/406,4728/2364 is 3/479892.
To find the highest common factor of 7041,4728, we have to find the factors of both numbers and list the highest common factor.
The factors of 7041 are 1, 3, 2347, 7041
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The HCF of 7041,4728 is 3.
Lets's calculate GCF of 7041,4728
| 3 | 7041, 4728 |
| 2347, 1576 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7041,4728 By Matching Biggest Common Factor Method
Now, list down the factors of 7041
:1,3,2347,7041
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 7041,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 7041,4728 is 3.
Lets's calculate LCM of 406,2364
| 2 | 406, 2364 |
| 203, 1182 |
∴ So the LCM of the given numbers is 2 x 203 x 1182 = 479892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/479892
Therefore, the GCF of Fractions 7041/406,4728/2364 is 3/479892
Least Common Multiple of 406,2364 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 406,2364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,2364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,2364) x common factors =2 x 1 = 2
LCM(406,2364) = ( 406 × 2364 ) / 2
LCM(406,2364) = 959784 / 2
LCM(406,2364) = 479892
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FAQs on GCF of Fractions of 7041/406, 4728/2364
1. What is the HCF of 7041,4728?
The HCF of 7041,4728 is 3
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 7041/406, 4728/2364?
Answer: GCF of Numerators as per given numbers 7041/406, 4728/2364 is
GCF of Numerators i.e. for 7041,4728 is 3
LCM of denominators i.e. for 406,2364 is 479892.
Thus, GCF of Fractions is 3/479892.Finally, GCF of Fractions for 7041/406, 4728/2364 is 3/479892.