GCF of 2188/683, 8638/8365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2188/683, 8638/8365 i.e 2/5713295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2188/683, 8638/8365.
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 2188/683,8638/8365?
Given fractions are 2188/683,8638/8365
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 2188/683,8638/8365, numerators are 2188,8638
Denominators are 683,8365
The GCF of 2188,8638 is 2 .
LCM of 683,8365 is 5713295.
The greatest common factor of 2188/683,8638/8365 = [GCF of 2188,8638]/[LCM of 683,8365]= 2/5713295
Therefore, the GCF of 2188/683,8638/8365 is 2/5713295.
To find the highest common factor of 2188,8638, we have to find the factors of both numbers and list the highest common factor.
The factors of 2188 are 1, 2, 4, 547, 1094, 2188
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The HCF of 2188,8638 is 2.
Lets's calculate GCF of 2188,8638
| 2 | 2188, 8638 |
| 1094, 4319 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2188,8638 By Matching Biggest Common Factor Method
Now, list down the factors of 2188
:1,2,4,547,1094,2188
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors 2188,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 2188,8638 is 2.
Lets's calculate LCM of 683,8365
Given numbers has no common factors except 1. So, there LCM is their product i.e 5713295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5713295
Therefore, the GCF of Fractions 2188/683,8638/8365 is 2/5713295
Least Common Multiple of 683,8365 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 683,8365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,8365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,8365) x common factors =1 x 1 = 1
LCM(683,8365) = ( 683 × 8365 ) / 1
LCM(683,8365) = 5713295 / 1
LCM(683,8365) = 5713295
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2188/683, 8638/8365
1. What is the HCF of 2188,8638?
The HCF of 2188,8638 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 2188/683, 8638/8365?
Answer: GCF of Numerators as per given numbers 2188/683, 8638/8365 is
GCF of Numerators i.e. for 2188,8638 is 2
LCM of denominators i.e. for 683,8365 is 5713295.
Thus, GCF of Fractions is 2/5713295.Finally, GCF of Fractions for 2188/683, 8638/8365 is 2/5713295.