GCF of 6433/820, 6828/5623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6433/820, 6828/5623 i.e 1/4610860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6433/820, 6828/5623.
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 6433/820,6828/5623?
Given fractions are 6433/820,6828/5623
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 6433/820,6828/5623, numerators are 6433,6828
Denominators are 820,5623
The GCF of 6433,6828 is 1 .
LCM of 820,5623 is 4610860.
The greatest common factor of 6433/820,6828/5623 = [GCF of 6433,6828]/[LCM of 820,5623]= 1/4610860
Therefore, the GCF of 6433/820,6828/5623 is 1/4610860.
To find the highest common factor of 6433,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 6433 are 1, 7, 919, 6433
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 6433,6828 is 1.
Lets's calculate GCF of 6433,6828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6433,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 6433
:1,7,919,6433
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 6433,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 6433,6828 is 1.
Lets's calculate LCM of 820,5623
Given numbers has no common factors except 1. So, there LCM is their product i.e 4610860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4610860
Therefore, the GCF of Fractions 6433/820,6828/5623 is 1/4610860
Least Common Multiple of 820,5623 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 820,5623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,5623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,5623) x common factors =1 x 1 = 1
LCM(820,5623) = ( 820 × 5623 ) / 1
LCM(820,5623) = 4610860 / 1
LCM(820,5623) = 4610860
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FAQs on GCF of Fractions of 6433/820, 6828/5623
1. What is the HCF of 6433,6828?
The HCF of 6433,6828 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 6433/820, 6828/5623?
Answer: GCF of Numerators as per given numbers 6433/820, 6828/5623 is
GCF of Numerators i.e. for 6433,6828 is 1
LCM of denominators i.e. for 820,5623 is 4610860.
Thus, GCF of Fractions is 1/4610860.Finally, GCF of Fractions for 6433/820, 6828/5623 is 1/4610860.