GCF of 8313/404, 6374/5180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8313/404, 6374/5180 i.e 1/523180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8313/404, 6374/5180.
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 8313/404,6374/5180?
Given fractions are 8313/404,6374/5180
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 8313/404,6374/5180, numerators are 8313,6374
Denominators are 404,5180
The GCF of 8313,6374 is 1 .
LCM of 404,5180 is 523180.
The greatest common factor of 8313/404,6374/5180 = [GCF of 8313,6374]/[LCM of 404,5180]= 1/523180
Therefore, the GCF of 8313/404,6374/5180 is 1/523180.
To find the highest common factor of 8313,6374, we have to find the factors of both numbers and list the highest common factor.
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The factors of 6374 are 1, 2, 3187, 6374
The HCF of 8313,6374 is 1.
Lets's calculate GCF of 8313,6374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8313,6374 By Matching Biggest Common Factor Method
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Now, list down the factors of 6374
:1,2,3187,6374
Greatest Common Factor
We found the factors 8313,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 8313,6374 is 1.
Lets's calculate LCM of 404,5180
| 2 | 404, 5180 |
| 2 | 202, 2590 |
| 101, 1295 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 1295 = 523180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/523180
Therefore, the GCF of Fractions 8313/404,6374/5180 is 1/523180
Least Common Multiple of 404,5180 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 404,5180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,5180) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,5180) x common factors =4 x 1 = 4
LCM(404,5180) = ( 404 × 5180 ) / 4
LCM(404,5180) = 2092720 / 4
LCM(404,5180) = 523180
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FAQs on GCF of Fractions of 8313/404, 6374/5180
1. What is the HCF of 8313,6374?
The HCF of 8313,6374 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 8313/404, 6374/5180?
Answer: GCF of Numerators as per given numbers 8313/404, 6374/5180 is
GCF of Numerators i.e. for 8313,6374 is 1
LCM of denominators i.e. for 404,5180 is 523180.
Thus, GCF of Fractions is 1/523180.Finally, GCF of Fractions for 8313/404, 6374/5180 is 1/523180.