GCF of 8459/206, 8530/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8459/206, 8530/368 i.e 1/37904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8459/206, 8530/368.
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 8459/206,8530/368?
Given fractions are 8459/206,8530/368
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 8459/206,8530/368, numerators are 8459,8530
Denominators are 206,368
The GCF of 8459,8530 is 1 .
LCM of 206,368 is 37904.
The greatest common factor of 8459/206,8530/368 = [GCF of 8459,8530]/[LCM of 206,368]= 1/37904
Therefore, the GCF of 8459/206,8530/368 is 1/37904.
To find the highest common factor of 8459,8530, we have to find the factors of both numbers and list the highest common factor.
The factors of 8459 are 1, 11, 769, 8459
The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530
The HCF of 8459,8530 is 1.
Lets's calculate GCF of 8459,8530
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8459,8530 By Matching Biggest Common Factor Method
Now, list down the factors of 8459
:1,11,769,8459
Now, list down the factors of 8530
:1,2,5,10,853,1706,4265,8530
Greatest Common Factor
We found the factors 8459,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 8459,8530 is 1.
Lets's calculate LCM of 206,368
| 2 | 206, 368 |
| 103, 184 |
∴ So the LCM of the given numbers is 2 x 103 x 184 = 37904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37904
Therefore, the GCF of Fractions 8459/206,8530/368 is 1/37904
Least Common Multiple of 206,368 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 206,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,368) x common factors =2 x 1 = 2
LCM(206,368) = ( 206 × 368 ) / 2
LCM(206,368) = 75808 / 2
LCM(206,368) = 37904
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FAQs on GCF of Fractions of 8459/206, 8530/368
1. What is the HCF of 8459,8530?
The HCF of 8459,8530 is 1
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 8459/206, 8530/368?
Answer: GCF of Numerators as per given numbers 8459/206, 8530/368 is
GCF of Numerators i.e. for 8459,8530 is 1
LCM of denominators i.e. for 206,368 is 37904.
Thus, GCF of Fractions is 1/37904.Finally, GCF of Fractions for 8459/206, 8530/368 is 1/37904.