GCF of 8482/284, 5024/3822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8482/284, 5024/3822 i.e 2/542724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8482/284, 5024/3822.
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 8482/284,5024/3822?
Given fractions are 8482/284,5024/3822
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 8482/284,5024/3822, numerators are 8482,5024
Denominators are 284,3822
The GCF of 8482,5024 is 2 .
LCM of 284,3822 is 542724.
The greatest common factor of 8482/284,5024/3822 = [GCF of 8482,5024]/[LCM of 284,3822]= 2/542724
Therefore, the GCF of 8482/284,5024/3822 is 2/542724.
To find the highest common factor of 8482,5024, we have to find the factors of both numbers and list the highest common factor.
The factors of 8482 are 1, 2, 4241, 8482
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The HCF of 8482,5024 is 2.
Lets's calculate GCF of 8482,5024
| 2 | 8482, 5024 |
| 4241, 2512 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8482,5024 By Matching Biggest Common Factor Method
Now, list down the factors of 8482
:1,2,4241,8482
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Greatest Common Factor
We found the factors 8482,5024 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,5024 is 2.
Lets's calculate LCM of 284,3822
| 2 | 284, 3822 |
| 142, 1911 |
∴ So the LCM of the given numbers is 2 x 142 x 1911 = 542724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/542724
Therefore, the GCF of Fractions 8482/284,5024/3822 is 2/542724
Least Common Multiple of 284,3822 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 284,3822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,3822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,3822) x common factors =2 x 1 = 2
LCM(284,3822) = ( 284 × 3822 ) / 2
LCM(284,3822) = 1085448 / 2
LCM(284,3822) = 542724
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8482/284, 5024/3822
1. What is the HCF of 8482,5024?
The HCF of 8482,5024 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 8482/284, 5024/3822?
Answer: GCF of Numerators as per given numbers 8482/284, 5024/3822 is
GCF of Numerators i.e. for 8482,5024 is 2
LCM of denominators i.e. for 284,3822 is 542724.
Thus, GCF of Fractions is 2/542724.Finally, GCF of Fractions for 8482/284, 5024/3822 is 2/542724.