GCF of 9093/208, 8337/1598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9093/208, 8337/1598 i.e 21/166192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9093/208, 8337/1598.
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 9093/208,8337/1598?
Given fractions are 9093/208,8337/1598
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 9093/208,8337/1598, numerators are 9093,8337
Denominators are 208,1598
The GCF of 9093,8337 is 21 .
LCM of 208,1598 is 166192.
The greatest common factor of 9093/208,8337/1598 = [GCF of 9093,8337]/[LCM of 208,1598]= 21/166192
Therefore, the GCF of 9093/208,8337/1598 is 21/166192.
To find the highest common factor of 9093,8337, we have to find the factors of both numbers and list the highest common factor.
The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The HCF of 9093,8337 is 21.
Lets's calculate GCF of 9093,8337
| 3 | 9093, 8337 |
| 7 | 3031, 2779 |
| 433, 397 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 9093,8337 By Matching Biggest Common Factor Method
Now, list down the factors of 9093
:1,3,7,21,433,1299,3031,9093
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Greatest Common Factor
We found the factors 9093,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 9093,8337 is 21.
Lets's calculate LCM of 208,1598
| 2 | 208, 1598 |
| 104, 799 |
∴ So the LCM of the given numbers is 2 x 104 x 799 = 166192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/166192
Therefore, the GCF of Fractions 9093/208,8337/1598 is 21/166192
Least Common Multiple of 208,1598 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 208,1598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,1598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,1598) x common factors =2 x 1 = 2
LCM(208,1598) = ( 208 × 1598 ) / 2
LCM(208,1598) = 332384 / 2
LCM(208,1598) = 166192
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FAQs on GCF of Fractions of 9093/208, 8337/1598
1. What is the HCF of 9093,8337?
The HCF of 9093,8337 is 21
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 9093/208, 8337/1598?
Answer: GCF of Numerators as per given numbers 9093/208, 8337/1598 is
GCF of Numerators i.e. for 9093,8337 is 21
LCM of denominators i.e. for 208,1598 is 166192.
Thus, GCF of Fractions is 21/166192.Finally, GCF of Fractions for 9093/208, 8337/1598 is 21/166192.