GCF of 8241/636, 2337/3793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8241/636, 2337/3793 i.e 123/2412348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8241/636, 2337/3793.
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 8241/636,2337/3793?
Given fractions are 8241/636,2337/3793
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 8241/636,2337/3793, numerators are 8241,2337
Denominators are 636,3793
The GCF of 8241,2337 is 123 .
LCM of 636,3793 is 2412348.
The greatest common factor of 8241/636,2337/3793 = [GCF of 8241,2337]/[LCM of 636,3793]= 123/2412348
Therefore, the GCF of 8241/636,2337/3793 is 123/2412348.
To find the highest common factor of 8241,2337, we have to find the factors of both numbers and list the highest common factor.
The factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241
The factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337
The HCF of 8241,2337 is 123.
Lets's calculate GCF of 8241,2337
| 3 | 8241, 2337 |
| 41 | 2747, 779 |
| 67, 19 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Greatest Common Factor of 8241,2337 By Matching Biggest Common Factor Method
Now, list down the factors of 8241
:1,3,41,67,123,201,2747,8241
Now, list down the factors of 2337
:1,3,19,41,57,123,779,2337
Greatest Common Factor
We found the factors 8241,2337 . The biggest common factor number is the GCF number.
So the greatest common factor 8241,2337 is 123.
Lets's calculate LCM of 636,3793
Given numbers has no common factors except 1. So, there LCM is their product i.e 2412348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/2412348
Therefore, the GCF of Fractions 8241/636,2337/3793 is 123/2412348
Least Common Multiple of 636,3793 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 636,3793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3793) x common factors =1 x 1 = 1
LCM(636,3793) = ( 636 × 3793 ) / 1
LCM(636,3793) = 2412348 / 1
LCM(636,3793) = 2412348
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FAQs on GCF of Fractions of 8241/636, 2337/3793
1. What is the HCF of 8241,2337?
The HCF of 8241,2337 is 123
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 8241/636, 2337/3793?
Answer: GCF of Numerators as per given numbers 8241/636, 2337/3793 is
GCF of Numerators i.e. for 8241,2337 is 123
LCM of denominators i.e. for 636,3793 is 2412348.
Thus, GCF of Fractions is 123/2412348.Finally, GCF of Fractions for 8241/636, 2337/3793 is 123/2412348.