GCF of 8284/567, 4674/4289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8284/567, 4674/4289 i.e 38/2431863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8284/567, 4674/4289.
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 8284/567,4674/4289?
Given fractions are 8284/567,4674/4289
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 8284/567,4674/4289, numerators are 8284,4674
Denominators are 567,4289
The GCF of 8284,4674 is 38 .
LCM of 567,4289 is 2431863.
The greatest common factor of 8284/567,4674/4289 = [GCF of 8284,4674]/[LCM of 567,4289]= 38/2431863
Therefore, the GCF of 8284/567,4674/4289 is 38/2431863.
To find the highest common factor of 8284,4674, we have to find the factors of both numbers and list the highest common factor.
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674
The HCF of 8284,4674 is 38.
Lets's calculate GCF of 8284,4674
| 2 | 8284, 4674 |
| 19 | 4142, 2337 |
| 218, 123 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 8284,4674 By Matching Biggest Common Factor Method
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Now, list down the factors of 4674
:1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
Greatest Common Factor
We found the factors 8284,4674 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,4674 is 38.
Lets's calculate LCM of 567,4289
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/2431863
Therefore, the GCF of Fractions 8284/567,4674/4289 is 38/2431863
Least Common Multiple of 567,4289 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 567,4289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,4289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,4289) x common factors =1 x 1 = 1
LCM(567,4289) = ( 567 × 4289 ) / 1
LCM(567,4289) = 2431863 / 1
LCM(567,4289) = 2431863
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FAQs on GCF of Fractions of 8284/567, 4674/4289
1. What is the HCF of 8284,4674?
The HCF of 8284,4674 is 38
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 8284/567, 4674/4289?
Answer: GCF of Numerators as per given numbers 8284/567, 4674/4289 is
GCF of Numerators i.e. for 8284,4674 is 38
LCM of denominators i.e. for 567,4289 is 2431863.
Thus, GCF of Fractions is 38/2431863.Finally, GCF of Fractions for 8284/567, 4674/4289 is 38/2431863.