GCF of 8304/319, 7205/5493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8304/319, 7205/5493 i.e 1/1752267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8304/319, 7205/5493.
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 8304/319,7205/5493?
Given fractions are 8304/319,7205/5493
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 8304/319,7205/5493, numerators are 8304,7205
Denominators are 319,5493
The GCF of 8304,7205 is 1 .
LCM of 319,5493 is 1752267.
The greatest common factor of 8304/319,7205/5493 = [GCF of 8304,7205]/[LCM of 319,5493]= 1/1752267
Therefore, the GCF of 8304/319,7205/5493 is 1/1752267.
To find the highest common factor of 8304,7205, we have to find the factors of both numbers and list the highest common factor.
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The HCF of 8304,7205 is 1.
Lets's calculate GCF of 8304,7205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8304,7205 By Matching Biggest Common Factor Method
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Greatest Common Factor
We found the factors 8304,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,7205 is 1.
Lets's calculate LCM of 319,5493
Given numbers has no common factors except 1. So, there LCM is their product i.e 1752267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1752267
Therefore, the GCF of Fractions 8304/319,7205/5493 is 1/1752267
Least Common Multiple of 319,5493 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 319,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,5493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,5493) x common factors =1 x 1 = 1
LCM(319,5493) = ( 319 × 5493 ) / 1
LCM(319,5493) = 1752267 / 1
LCM(319,5493) = 1752267
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FAQs on GCF of Fractions of 8304/319, 7205/5493
1. What is the HCF of 8304,7205?
The HCF of 8304,7205 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 8304/319, 7205/5493?
Answer: GCF of Numerators as per given numbers 8304/319, 7205/5493 is
GCF of Numerators i.e. for 8304,7205 is 1
LCM of denominators i.e. for 319,5493 is 1752267.
Thus, GCF of Fractions is 1/1752267.Finally, GCF of Fractions for 8304/319, 7205/5493 is 1/1752267.