GCF of 2488/797, 3810/8361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2488/797, 3810/8361 i.e 2/6663717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2488/797, 3810/8361.
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 2488/797,3810/8361?
Given fractions are 2488/797,3810/8361
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 2488/797,3810/8361, numerators are 2488,3810
Denominators are 797,8361
The GCF of 2488,3810 is 2 .
LCM of 797,8361 is 6663717.
The greatest common factor of 2488/797,3810/8361 = [GCF of 2488,3810]/[LCM of 797,8361]= 2/6663717
Therefore, the GCF of 2488/797,3810/8361 is 2/6663717.
To find the highest common factor of 2488,3810, we have to find the factors of both numbers and list the highest common factor.
The factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 2488,3810 is 2.
Lets's calculate GCF of 2488,3810
| 2 | 2488, 3810 |
| 1244, 1905 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2488,3810 By Matching Biggest Common Factor Method
Now, list down the factors of 2488
:1,2,4,8,311,622,1244,2488
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 2488,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 2488,3810 is 2.
Lets's calculate LCM of 797,8361
Given numbers has no common factors except 1. So, there LCM is their product i.e 6663717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6663717
Therefore, the GCF of Fractions 2488/797,3810/8361 is 2/6663717
Least Common Multiple of 797,8361 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 797,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,8361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,8361) x common factors =1 x 1 = 1
LCM(797,8361) = ( 797 × 8361 ) / 1
LCM(797,8361) = 6663717 / 1
LCM(797,8361) = 6663717
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FAQs on GCF of Fractions of 2488/797, 3810/8361
1. What is the HCF of 2488,3810?
The HCF of 2488,3810 is 2
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 2488/797, 3810/8361?
Answer: GCF of Numerators as per given numbers 2488/797, 3810/8361 is
GCF of Numerators i.e. for 2488,3810 is 2
LCM of denominators i.e. for 797,8361 is 6663717.
Thus, GCF of Fractions is 2/6663717.Finally, GCF of Fractions for 2488/797, 3810/8361 is 2/6663717.