GCF of 4571/173, 4823/2796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4571/173, 4823/2796 i.e 7/483708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4571/173, 4823/2796.
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 4571/173,4823/2796?
Given fractions are 4571/173,4823/2796
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 4571/173,4823/2796, numerators are 4571,4823
Denominators are 173,2796
The GCF of 4571,4823 is 7 .
LCM of 173,2796 is 483708.
The greatest common factor of 4571/173,4823/2796 = [GCF of 4571,4823]/[LCM of 173,2796]= 7/483708
Therefore, the GCF of 4571/173,4823/2796 is 7/483708.
To find the highest common factor of 4571,4823, we have to find the factors of both numbers and list the highest common factor.
The factors of 4571 are 1, 7, 653, 4571
The factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823
The HCF of 4571,4823 is 7.
Lets's calculate GCF of 4571,4823
| 7 | 4571, 4823 |
| 653, 689 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4571,4823 By Matching Biggest Common Factor Method
Now, list down the factors of 4571
:1,7,653,4571
Now, list down the factors of 4823
:1,7,13,53,91,371,689,4823
Greatest Common Factor
We found the factors 4571,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,4823 is 7.
Lets's calculate LCM of 173,2796
Given numbers has no common factors except 1. So, there LCM is their product i.e 483708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/483708
Therefore, the GCF of Fractions 4571/173,4823/2796 is 7/483708
Least Common Multiple of 173,2796 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 173,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,2796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,2796) x common factors =1 x 1 = 1
LCM(173,2796) = ( 173 × 2796 ) / 1
LCM(173,2796) = 483708 / 1
LCM(173,2796) = 483708
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FAQs on GCF of Fractions of 4571/173, 4823/2796
1. What is the HCF of 4571,4823?
The HCF of 4571,4823 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 4571/173, 4823/2796?
Answer: GCF of Numerators as per given numbers 4571/173, 4823/2796 is
GCF of Numerators i.e. for 4571,4823 is 7
LCM of denominators i.e. for 173,2796 is 483708.
Thus, GCF of Fractions is 7/483708.Finally, GCF of Fractions for 4571/173, 4823/2796 is 7/483708.