GCF of 9201/337, 3549/4538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9201/337, 3549/4538 i.e 3/1529306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9201/337, 3549/4538.
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 9201/337,3549/4538?
Given fractions are 9201/337,3549/4538
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 9201/337,3549/4538, numerators are 9201,3549
Denominators are 337,4538
The GCF of 9201,3549 is 3 .
LCM of 337,4538 is 1529306.
The greatest common factor of 9201/337,3549/4538 = [GCF of 9201,3549]/[LCM of 337,4538]= 3/1529306
Therefore, the GCF of 9201/337,3549/4538 is 3/1529306.
To find the highest common factor of 9201,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 9201 are 1, 3, 3067, 9201
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 9201,3549 is 3.
Lets's calculate GCF of 9201,3549
| 3 | 9201, 3549 |
| 3067, 1183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9201,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 9201
:1,3,3067,9201
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 9201,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,3549 is 3.
Lets's calculate LCM of 337,4538
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1529306
Therefore, the GCF of Fractions 9201/337,3549/4538 is 3/1529306
Least Common Multiple of 337,4538 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 337,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,4538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,4538) x common factors =1 x 1 = 1
LCM(337,4538) = ( 337 × 4538 ) / 1
LCM(337,4538) = 1529306 / 1
LCM(337,4538) = 1529306
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FAQs on GCF of Fractions of 9201/337, 3549/4538
1. What is the HCF of 9201,3549?
The HCF of 9201,3549 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 9201/337, 3549/4538?
Answer: GCF of Numerators as per given numbers 9201/337, 3549/4538 is
GCF of Numerators i.e. for 9201,3549 is 3
LCM of denominators i.e. for 337,4538 is 1529306.
Thus, GCF of Fractions is 3/1529306.Finally, GCF of Fractions for 9201/337, 3549/4538 is 3/1529306.