GCF of 3638/863, 2438/8233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3638/863, 2438/8233 i.e 2/7105079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3638/863, 2438/8233.
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 3638/863,2438/8233?
Given fractions are 3638/863,2438/8233
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 3638/863,2438/8233, numerators are 3638,2438
Denominators are 863,8233
The GCF of 3638,2438 is 2 .
LCM of 863,8233 is 7105079.
The greatest common factor of 3638/863,2438/8233 = [GCF of 3638,2438]/[LCM of 863,8233]= 2/7105079
Therefore, the GCF of 3638/863,2438/8233 is 2/7105079.
To find the highest common factor of 3638,2438, we have to find the factors of both numbers and list the highest common factor.
The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638
The factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438
The HCF of 3638,2438 is 2.
Lets's calculate GCF of 3638,2438
| 2 | 3638, 2438 |
| 1819, 1219 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3638,2438 By Matching Biggest Common Factor Method
Now, list down the factors of 3638
:1,2,17,34,107,214,1819,3638
Now, list down the factors of 2438
:1,2,23,46,53,106,1219,2438
Greatest Common Factor
We found the factors 3638,2438 . The biggest common factor number is the GCF number.
So the greatest common factor 3638,2438 is 2.
Lets's calculate LCM of 863,8233
Given numbers has no common factors except 1. So, there LCM is their product i.e 7105079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7105079
Therefore, the GCF of Fractions 3638/863,2438/8233 is 2/7105079
Least Common Multiple of 863,8233 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 863,8233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,8233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,8233) x common factors =1 x 1 = 1
LCM(863,8233) = ( 863 × 8233 ) / 1
LCM(863,8233) = 7105079 / 1
LCM(863,8233) = 7105079
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FAQs on GCF of Fractions of 3638/863, 2438/8233
1. What is the HCF of 3638,2438?
The HCF of 3638,2438 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 3638/863, 2438/8233?
Answer: GCF of Numerators as per given numbers 3638/863, 2438/8233 is
GCF of Numerators i.e. for 3638,2438 is 2
LCM of denominators i.e. for 863,8233 is 7105079.
Thus, GCF of Fractions is 2/7105079.Finally, GCF of Fractions for 3638/863, 2438/8233 is 2/7105079.