GCF of 9193/413, 1808/3759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9193/413, 1808/3759 i.e 1/221781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9193/413, 1808/3759.
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 9193/413,1808/3759?
Given fractions are 9193/413,1808/3759
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 9193/413,1808/3759, numerators are 9193,1808
Denominators are 413,3759
The GCF of 9193,1808 is 1 .
LCM of 413,3759 is 221781.
The greatest common factor of 9193/413,1808/3759 = [GCF of 9193,1808]/[LCM of 413,3759]= 1/221781
Therefore, the GCF of 9193/413,1808/3759 is 1/221781.
To find the highest common factor of 9193,1808, we have to find the factors of both numbers and list the highest common factor.
The factors of 9193 are 1, 29, 317, 9193
The factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808
The HCF of 9193,1808 is 1.
Lets's calculate GCF of 9193,1808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9193,1808 By Matching Biggest Common Factor Method
Now, list down the factors of 9193
:1,29,317,9193
Now, list down the factors of 1808
:1,2,4,8,16,113,226,452,904,1808
Greatest Common Factor
We found the factors 9193,1808 . The biggest common factor number is the GCF number.
So the greatest common factor 9193,1808 is 1.
Lets's calculate LCM of 413,3759
| 7 | 413, 3759 |
| 59, 537 |
∴ So the LCM of the given numbers is 7 x 59 x 537 = 221781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221781
Therefore, the GCF of Fractions 9193/413,1808/3759 is 1/221781
Least Common Multiple of 413,3759 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 413,3759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,3759) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(413,3759) x common factors =7 x 1 = 7
LCM(413,3759) = ( 413 × 3759 ) / 7
LCM(413,3759) = 1552467 / 7
LCM(413,3759) = 221781
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FAQs on GCF of Fractions of 9193/413, 1808/3759
1. What is the HCF of 9193,1808?
The HCF of 9193,1808 is 1
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 9193/413, 1808/3759?
Answer: GCF of Numerators as per given numbers 9193/413, 1808/3759 is
GCF of Numerators i.e. for 9193,1808 is 1
LCM of denominators i.e. for 413,3759 is 221781.
Thus, GCF of Fractions is 1/221781.Finally, GCF of Fractions for 9193/413, 1808/3759 is 1/221781.