GCF of 8221/317, 2569/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8221/317, 2569/141 i.e 1/44697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8221/317, 2569/141.
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 8221/317,2569/141?
Given fractions are 8221/317,2569/141
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 8221/317,2569/141, numerators are 8221,2569
Denominators are 317,141
The GCF of 8221,2569 is 1 .
LCM of 317,141 is 44697.
The greatest common factor of 8221/317,2569/141 = [GCF of 8221,2569]/[LCM of 317,141]= 1/44697
Therefore, the GCF of 8221/317,2569/141 is 1/44697.
To find the highest common factor of 8221,2569, we have to find the factors of both numbers and list the highest common factor.
The factors of 8221 are 1, 8221
The factors of 2569 are 1, 7, 367, 2569
The HCF of 8221,2569 is 1.
Lets's calculate GCF of 8221,2569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8221,2569 By Matching Biggest Common Factor Method
Now, list down the factors of 8221
:1,8221
Now, list down the factors of 2569
:1,7,367,2569
Greatest Common Factor
We found the factors 8221,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 8221,2569 is 1.
Lets's calculate LCM of 317,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 44697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44697
Therefore, the GCF of Fractions 8221/317,2569/141 is 1/44697
Least Common Multiple of 317,141 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 317,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,141) x common factors =1 x 1 = 1
LCM(317,141) = ( 317 × 141 ) / 1
LCM(317,141) = 44697 / 1
LCM(317,141) = 44697
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FAQs on GCF of Fractions of 8221/317, 2569/141
1. What is the HCF of 8221,2569?
The HCF of 8221,2569 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 8221/317, 2569/141?
Answer: GCF of Numerators as per given numbers 8221/317, 2569/141 is
GCF of Numerators i.e. for 8221,2569 is 1
LCM of denominators i.e. for 317,141 is 44697.
Thus, GCF of Fractions is 1/44697.Finally, GCF of Fractions for 8221/317, 2569/141 is 1/44697.