GCF of 8337/469, 5649/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8337/469, 5649/681 i.e 21/319389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8337/469, 5649/681.
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 8337/469,5649/681?
Given fractions are 8337/469,5649/681
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 8337/469,5649/681, numerators are 8337,5649
Denominators are 469,681
The GCF of 8337,5649 is 21 .
LCM of 469,681 is 319389.
The greatest common factor of 8337/469,5649/681 = [GCF of 8337,5649]/[LCM of 469,681]= 21/319389
Therefore, the GCF of 8337/469,5649/681 is 21/319389.
To find the highest common factor of 8337,5649, we have to find the factors of both numbers and list the highest common factor.
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
The HCF of 8337,5649 is 21.
Lets's calculate GCF of 8337,5649
| 3 | 8337, 5649 |
| 7 | 2779, 1883 |
| 397, 269 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 8337,5649 By Matching Biggest Common Factor Method
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
Greatest Common Factor
We found the factors 8337,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,5649 is 21.
Lets's calculate LCM of 469,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 319389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/319389
Therefore, the GCF of Fractions 8337/469,5649/681 is 21/319389
Least Common Multiple of 469,681 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 469,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,681) x common factors =1 x 1 = 1
LCM(469,681) = ( 469 × 681 ) / 1
LCM(469,681) = 319389 / 1
LCM(469,681) = 319389
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FAQs on GCF of Fractions of 8337/469, 5649/681
1. What is the HCF of 8337,5649?
The HCF of 8337,5649 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 8337/469, 5649/681?
Answer: GCF of Numerators as per given numbers 8337/469, 5649/681 is
GCF of Numerators i.e. for 8337,5649 is 21
LCM of denominators i.e. for 469,681 is 319389.
Thus, GCF of Fractions is 21/319389.Finally, GCF of Fractions for 8337/469, 5649/681 is 21/319389.