GCF of 8173/739, 5764/2810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8173/739, 5764/2810 i.e 11/2076590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8173/739, 5764/2810.
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 8173/739,5764/2810?
Given fractions are 8173/739,5764/2810
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 8173/739,5764/2810, numerators are 8173,5764
Denominators are 739,2810
The GCF of 8173,5764 is 11 .
LCM of 739,2810 is 2076590.
The greatest common factor of 8173/739,5764/2810 = [GCF of 8173,5764]/[LCM of 739,2810]= 11/2076590
Therefore, the GCF of 8173/739,5764/2810 is 11/2076590.
To find the highest common factor of 8173,5764, we have to find the factors of both numbers and list the highest common factor.
The factors of 8173 are 1, 11, 743, 8173
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The HCF of 8173,5764 is 11.
Lets's calculate GCF of 8173,5764
| 11 | 8173, 5764 |
| 743, 524 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8173,5764 By Matching Biggest Common Factor Method
Now, list down the factors of 8173
:1,11,743,8173
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors 8173,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 8173,5764 is 11.
Lets's calculate LCM of 739,2810
Given numbers has no common factors except 1. So, there LCM is their product i.e 2076590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2076590
Therefore, the GCF of Fractions 8173/739,5764/2810 is 11/2076590
Least Common Multiple of 739,2810 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 739,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,2810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,2810) x common factors =1 x 1 = 1
LCM(739,2810) = ( 739 × 2810 ) / 1
LCM(739,2810) = 2076590 / 1
LCM(739,2810) = 2076590
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FAQs on GCF of Fractions of 8173/739, 5764/2810
1. What is the HCF of 8173,5764?
The HCF of 8173,5764 is 11
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 8173/739, 5764/2810?
Answer: GCF of Numerators as per given numbers 8173/739, 5764/2810 is
GCF of Numerators i.e. for 8173,5764 is 11
LCM of denominators i.e. for 739,2810 is 2076590.
Thus, GCF of Fractions is 11/2076590.Finally, GCF of Fractions for 8173/739, 5764/2810 is 11/2076590.