GCF of 8323/829, 5145/2742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8323/829, 5145/2742 i.e 7/2273118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8323/829, 5145/2742.
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 8323/829,5145/2742?
Given fractions are 8323/829,5145/2742
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 8323/829,5145/2742, numerators are 8323,5145
Denominators are 829,2742
The GCF of 8323,5145 is 7 .
LCM of 829,2742 is 2273118.
The greatest common factor of 8323/829,5145/2742 = [GCF of 8323,5145]/[LCM of 829,2742]= 7/2273118
Therefore, the GCF of 8323/829,5145/2742 is 7/2273118.
To find the highest common factor of 8323,5145, we have to find the factors of both numbers and list the highest common factor.
The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323
The factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
The HCF of 8323,5145 is 7.
Lets's calculate GCF of 8323,5145
| 7 | 8323, 5145 |
| 1189, 735 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8323,5145 By Matching Biggest Common Factor Method
Now, list down the factors of 8323
:1,7,29,41,203,287,1189,8323
Now, list down the factors of 5145
:1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145
Greatest Common Factor
We found the factors 8323,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 8323,5145 is 7.
Lets's calculate LCM of 829,2742
Given numbers has no common factors except 1. So, there LCM is their product i.e 2273118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2273118
Therefore, the GCF of Fractions 8323/829,5145/2742 is 7/2273118
Least Common Multiple of 829,2742 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 829,2742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,2742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,2742) x common factors =1 x 1 = 1
LCM(829,2742) = ( 829 × 2742 ) / 1
LCM(829,2742) = 2273118 / 1
LCM(829,2742) = 2273118
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8323/829, 5145/2742
1. What is the HCF of 8323,5145?
The HCF of 8323,5145 is 7
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 8323/829, 5145/2742?
Answer: GCF of Numerators as per given numbers 8323/829, 5145/2742 is
GCF of Numerators i.e. for 8323,5145 is 7
LCM of denominators i.e. for 829,2742 is 2273118.
Thus, GCF of Fractions is 7/2273118.Finally, GCF of Fractions for 8323/829, 5145/2742 is 7/2273118.