GCF of 8719/104, 6336/3706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8719/104, 6336/3706 i.e 1/192712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8719/104, 6336/3706.
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 8719/104,6336/3706?
Given fractions are 8719/104,6336/3706
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 8719/104,6336/3706, numerators are 8719,6336
Denominators are 104,3706
The GCF of 8719,6336 is 1 .
LCM of 104,3706 is 192712.
The greatest common factor of 8719/104,6336/3706 = [GCF of 8719,6336]/[LCM of 104,3706]= 1/192712
Therefore, the GCF of 8719/104,6336/3706 is 1/192712.
To find the highest common factor of 8719,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 8719 are 1, 8719
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 8719,6336 is 1.
Lets's calculate GCF of 8719,6336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8719,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 8719
:1,8719
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 8719,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,6336 is 1.
Lets's calculate LCM of 104,3706
| 2 | 104, 3706 |
| 52, 1853 |
∴ So the LCM of the given numbers is 2 x 52 x 1853 = 192712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192712
Therefore, the GCF of Fractions 8719/104,6336/3706 is 1/192712
Least Common Multiple of 104,3706 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 104,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,3706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,3706) x common factors =2 x 1 = 2
LCM(104,3706) = ( 104 × 3706 ) / 2
LCM(104,3706) = 385424 / 2
LCM(104,3706) = 192712
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FAQs on GCF of Fractions of 8719/104, 6336/3706
1. What is the HCF of 8719,6336?
The HCF of 8719,6336 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 8719/104, 6336/3706?
Answer: GCF of Numerators as per given numbers 8719/104, 6336/3706 is
GCF of Numerators i.e. for 8719,6336 is 1
LCM of denominators i.e. for 104,3706 is 192712.
Thus, GCF of Fractions is 1/192712.Finally, GCF of Fractions for 8719/104, 6336/3706 is 1/192712.