GCF of 8638/206, 8909/8455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8638/206, 8909/8455 i.e 1/1741730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8638/206, 8909/8455.
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 8638/206,8909/8455?
Given fractions are 8638/206,8909/8455
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 8638/206,8909/8455, numerators are 8638,8909
Denominators are 206,8455
The GCF of 8638,8909 is 1 .
LCM of 206,8455 is 1741730.
The greatest common factor of 8638/206,8909/8455 = [GCF of 8638,8909]/[LCM of 206,8455]= 1/1741730
Therefore, the GCF of 8638/206,8909/8455 is 1/1741730.
To find the highest common factor of 8638,8909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The factors of 8909 are 1, 59, 151, 8909
The HCF of 8638,8909 is 1.
Lets's calculate GCF of 8638,8909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8638,8909 By Matching Biggest Common Factor Method
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Now, list down the factors of 8909
:1,59,151,8909
Greatest Common Factor
We found the factors 8638,8909 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,8909 is 1.
Lets's calculate LCM of 206,8455
Given numbers has no common factors except 1. So, there LCM is their product i.e 1741730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1741730
Therefore, the GCF of Fractions 8638/206,8909/8455 is 1/1741730
Least Common Multiple of 206,8455 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 206,8455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8455) x common factors =1 x 1 = 1
LCM(206,8455) = ( 206 × 8455 ) / 1
LCM(206,8455) = 1741730 / 1
LCM(206,8455) = 1741730
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FAQs on GCF of Fractions of 8638/206, 8909/8455
1. What is the HCF of 8638,8909?
The HCF of 8638,8909 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 8638/206, 8909/8455?
Answer: GCF of Numerators as per given numbers 8638/206, 8909/8455 is
GCF of Numerators i.e. for 8638,8909 is 1
LCM of denominators i.e. for 206,8455 is 1741730.
Thus, GCF of Fractions is 1/1741730.Finally, GCF of Fractions for 8638/206, 8909/8455 is 1/1741730.