GCF of 8444/655, 2182/2820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8444/655, 2182/2820 i.e 2/369420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8444/655, 2182/2820.
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 8444/655,2182/2820?
Given fractions are 8444/655,2182/2820
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 8444/655,2182/2820, numerators are 8444,2182
Denominators are 655,2820
The GCF of 8444,2182 is 2 .
LCM of 655,2820 is 369420.
The greatest common factor of 8444/655,2182/2820 = [GCF of 8444,2182]/[LCM of 655,2820]= 2/369420
Therefore, the GCF of 8444/655,2182/2820 is 2/369420.
To find the highest common factor of 8444,2182, we have to find the factors of both numbers and list the highest common factor.
The factors of 8444 are 1, 2, 4, 2111, 4222, 8444
The factors of 2182 are 1, 2, 1091, 2182
The HCF of 8444,2182 is 2.
Lets's calculate GCF of 8444,2182
| 2 | 8444, 2182 |
| 4222, 1091 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8444,2182 By Matching Biggest Common Factor Method
Now, list down the factors of 8444
:1,2,4,2111,4222,8444
Now, list down the factors of 2182
:1,2,1091,2182
Greatest Common Factor
We found the factors 8444,2182 . The biggest common factor number is the GCF number.
So the greatest common factor 8444,2182 is 2.
Lets's calculate LCM of 655,2820
| 5 | 655, 2820 |
| 131, 564 |
∴ So the LCM of the given numbers is 5 x 131 x 564 = 369420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/369420
Therefore, the GCF of Fractions 8444/655,2182/2820 is 2/369420
Least Common Multiple of 655,2820 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 655,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,2820) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,2820) x common factors =5 x 1 = 5
LCM(655,2820) = ( 655 × 2820 ) / 5
LCM(655,2820) = 1847100 / 5
LCM(655,2820) = 369420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8444/655, 2182/2820
1. What is the HCF of 8444,2182?
The HCF of 8444,2182 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 8444/655, 2182/2820?
Answer: GCF of Numerators as per given numbers 8444/655, 2182/2820 is
GCF of Numerators i.e. for 8444,2182 is 2
LCM of denominators i.e. for 655,2820 is 369420.
Thus, GCF of Fractions is 2/369420.Finally, GCF of Fractions for 8444/655, 2182/2820 is 2/369420.