GCF of 823/95, 518/4258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 823/95, 518/4258 i.e 1/404510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/95, 518/4258.
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 823/95,518/4258?
Given fractions are 823/95,518/4258
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 823/95,518/4258, numerators are 823,518
Denominators are 95,4258
The GCF of 823,518 is 1 .
LCM of 95,4258 is 404510.
The greatest common factor of 823/95,518/4258 = [GCF of 823,518]/[LCM of 95,4258]= 1/404510
Therefore, the GCF of 823/95,518/4258 is 1/404510.
To find the highest common factor of 823,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 823 are 1, 823
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 823,518 is 1.
Lets's calculate GCF of 823,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 823,518 By Matching Biggest Common Factor Method
Now, list down the factors of 823
:1,823
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 823,518 . The biggest common factor number is the GCF number.
So the greatest common factor 823,518 is 1.
Lets's calculate LCM of 95,4258
Given numbers has no common factors except 1. So, there LCM is their product i.e 404510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404510
Therefore, the GCF of Fractions 823/95,518/4258 is 1/404510
Least Common Multiple of 95,4258 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 95,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4258) x common factors =1 x 1 = 1
LCM(95,4258) = ( 95 × 4258 ) / 1
LCM(95,4258) = 404510 / 1
LCM(95,4258) = 404510
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FAQs on GCF of Fractions of 823/95, 518/4258
1. What is the HCF of 823,518?
The HCF of 823,518 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 823/95, 518/4258?
Answer: GCF of Numerators as per given numbers 823/95, 518/4258 is
GCF of Numerators i.e. for 823,518 is 1
LCM of denominators i.e. for 95,4258 is 404510.
Thus, GCF of Fractions is 1/404510.Finally, GCF of Fractions for 823/95, 518/4258 is 1/404510.