GCF of 9393/207, 7431/4509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9393/207, 7431/4509 i.e 3/103707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9393/207, 7431/4509.
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 9393/207,7431/4509?
Given fractions are 9393/207,7431/4509
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 9393/207,7431/4509, numerators are 9393,7431
Denominators are 207,4509
The GCF of 9393,7431 is 3 .
LCM of 207,4509 is 103707.
The greatest common factor of 9393/207,7431/4509 = [GCF of 9393,7431]/[LCM of 207,4509]= 3/103707
Therefore, the GCF of 9393/207,7431/4509 is 3/103707.
To find the highest common factor of 9393,7431, we have to find the factors of both numbers and list the highest common factor.
The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393
The factors of 7431 are 1, 3, 2477, 7431
The HCF of 9393,7431 is 3.
Lets's calculate GCF of 9393,7431
| 3 | 9393, 7431 |
| 3131, 2477 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9393,7431 By Matching Biggest Common Factor Method
Now, list down the factors of 9393
:1,3,31,93,101,303,3131,9393
Now, list down the factors of 7431
:1,3,2477,7431
Greatest Common Factor
We found the factors 9393,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 9393,7431 is 3.
Lets's calculate LCM of 207,4509
| 3 | 207, 4509 |
| 3 | 69, 1503 |
| 23, 501 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 501 = 103707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/103707
Therefore, the GCF of Fractions 9393/207,7431/4509 is 3/103707
Least Common Multiple of 207,4509 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 207,4509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,4509) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,4509) x common factors =9 x 1 = 9
LCM(207,4509) = ( 207 × 4509 ) / 9
LCM(207,4509) = 933363 / 9
LCM(207,4509) = 103707
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FAQs on GCF of Fractions of 9393/207, 7431/4509
1. What is the HCF of 9393,7431?
The HCF of 9393,7431 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 9393/207, 7431/4509?
Answer: GCF of Numerators as per given numbers 9393/207, 7431/4509 is
GCF of Numerators i.e. for 9393,7431 is 3
LCM of denominators i.e. for 207,4509 is 103707.
Thus, GCF of Fractions is 3/103707.Finally, GCF of Fractions for 9393/207, 7431/4509 is 3/103707.