GCF of 8344/352, 5829/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8344/352, 5829/249 i.e 1/87648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8344/352, 5829/249.
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 8344/352,5829/249?
Given fractions are 8344/352,5829/249
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 8344/352,5829/249, numerators are 8344,5829
Denominators are 352,249
The GCF of 8344,5829 is 1 .
LCM of 352,249 is 87648.
The greatest common factor of 8344/352,5829/249 = [GCF of 8344,5829]/[LCM of 352,249]= 1/87648
Therefore, the GCF of 8344/352,5829/249 is 1/87648.
To find the highest common factor of 8344,5829, we have to find the factors of both numbers and list the highest common factor.
The factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344
The factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829
The HCF of 8344,5829 is 1.
Lets's calculate GCF of 8344,5829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8344,5829 By Matching Biggest Common Factor Method
Now, list down the factors of 8344
:1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344
Now, list down the factors of 5829
:1,3,29,67,87,201,1943,5829
Greatest Common Factor
We found the factors 8344,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 8344,5829 is 1.
Lets's calculate LCM of 352,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 87648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87648
Therefore, the GCF of Fractions 8344/352,5829/249 is 1/87648
Least Common Multiple of 352,249 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 352,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,249) x common factors =1 x 1 = 1
LCM(352,249) = ( 352 × 249 ) / 1
LCM(352,249) = 87648 / 1
LCM(352,249) = 87648
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FAQs on GCF of Fractions of 8344/352, 5829/249
1. What is the HCF of 8344,5829?
The HCF of 8344,5829 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 8344/352, 5829/249?
Answer: GCF of Numerators as per given numbers 8344/352, 5829/249 is
GCF of Numerators i.e. for 8344,5829 is 1
LCM of denominators i.e. for 352,249 is 87648.
Thus, GCF of Fractions is 1/87648.Finally, GCF of Fractions for 8344/352, 5829/249 is 1/87648.