GCF of 4792/800, 5729/8530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4792/800, 5729/8530 i.e 1/682400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4792/800, 5729/8530.
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 4792/800,5729/8530?
Given fractions are 4792/800,5729/8530
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 4792/800,5729/8530, numerators are 4792,5729
Denominators are 800,8530
The GCF of 4792,5729 is 1 .
LCM of 800,8530 is 682400.
The greatest common factor of 4792/800,5729/8530 = [GCF of 4792,5729]/[LCM of 800,8530]= 1/682400
Therefore, the GCF of 4792/800,5729/8530 is 1/682400.
To find the highest common factor of 4792,5729, we have to find the factors of both numbers and list the highest common factor.
The factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792
The factors of 5729 are 1, 17, 337, 5729
The HCF of 4792,5729 is 1.
Lets's calculate GCF of 4792,5729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4792,5729 By Matching Biggest Common Factor Method
Now, list down the factors of 4792
:1,2,4,8,599,1198,2396,4792
Now, list down the factors of 5729
:1,17,337,5729
Greatest Common Factor
We found the factors 4792,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 4792,5729 is 1.
Lets's calculate LCM of 800,8530
| 2 | 800, 8530 |
| 5 | 400, 4265 |
| 80, 853 |
∴ So the LCM of the given numbers is 2 x 5 x 80 x 853 = 682400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682400
Therefore, the GCF of Fractions 4792/800,5729/8530 is 1/682400
Least Common Multiple of 800,8530 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 800,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,8530) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(800,8530) x common factors =10 x 1 = 10
LCM(800,8530) = ( 800 × 8530 ) / 10
LCM(800,8530) = 6824000 / 10
LCM(800,8530) = 682400
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FAQs on GCF of Fractions of 4792/800, 5729/8530
1. What is the HCF of 4792,5729?
The HCF of 4792,5729 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 4792/800, 5729/8530?
Answer: GCF of Numerators as per given numbers 4792/800, 5729/8530 is
GCF of Numerators i.e. for 4792,5729 is 1
LCM of denominators i.e. for 800,8530 is 682400.
Thus, GCF of Fractions is 1/682400.Finally, GCF of Fractions for 4792/800, 5729/8530 is 1/682400.