GCF of 8121/746, 5238/2313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8121/746, 5238/2313 i.e 3/1725498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8121/746, 5238/2313.
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 8121/746,5238/2313?
Given fractions are 8121/746,5238/2313
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 8121/746,5238/2313, numerators are 8121,5238
Denominators are 746,2313
The GCF of 8121,5238 is 3 .
LCM of 746,2313 is 1725498.
The greatest common factor of 8121/746,5238/2313 = [GCF of 8121,5238]/[LCM of 746,2313]= 3/1725498
Therefore, the GCF of 8121/746,5238/2313 is 3/1725498.
To find the highest common factor of 8121,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 8121 are 1, 3, 2707, 8121
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 8121,5238 is 3.
Lets's calculate GCF of 8121,5238
| 3 | 8121, 5238 |
| 2707, 1746 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8121,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 8121
:1,3,2707,8121
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 8121,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 8121,5238 is 3.
Lets's calculate LCM of 746,2313
Given numbers has no common factors except 1. So, there LCM is their product i.e 1725498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1725498
Therefore, the GCF of Fractions 8121/746,5238/2313 is 3/1725498
Least Common Multiple of 746,2313 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 746,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,2313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,2313) x common factors =1 x 1 = 1
LCM(746,2313) = ( 746 × 2313 ) / 1
LCM(746,2313) = 1725498 / 1
LCM(746,2313) = 1725498
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FAQs on GCF of Fractions of 8121/746, 5238/2313
1. What is the HCF of 8121,5238?
The HCF of 8121,5238 is 3
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 8121/746, 5238/2313?
Answer: GCF of Numerators as per given numbers 8121/746, 5238/2313 is
GCF of Numerators i.e. for 8121,5238 is 3
LCM of denominators i.e. for 746,2313 is 1725498.
Thus, GCF of Fractions is 3/1725498.Finally, GCF of Fractions for 8121/746, 5238/2313 is 3/1725498.