GCF of 6723/477, 5205/5350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6723/477, 5205/5350 i.e 3/2551950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6723/477, 5205/5350.
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 6723/477,5205/5350?
Given fractions are 6723/477,5205/5350
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 6723/477,5205/5350, numerators are 6723,5205
Denominators are 477,5350
The GCF of 6723,5205 is 3 .
LCM of 477,5350 is 2551950.
The greatest common factor of 6723/477,5205/5350 = [GCF of 6723,5205]/[LCM of 477,5350]= 3/2551950
Therefore, the GCF of 6723/477,5205/5350 is 3/2551950.
To find the highest common factor of 6723,5205, we have to find the factors of both numbers and list the highest common factor.
The factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723
The factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The HCF of 6723,5205 is 3.
Lets's calculate GCF of 6723,5205
| 3 | 6723, 5205 |
| 2241, 1735 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6723,5205 By Matching Biggest Common Factor Method
Now, list down the factors of 6723
:1,3,9,27,81,83,249,747,2241,6723
Now, list down the factors of 5205
:1,3,5,15,347,1041,1735,5205
Greatest Common Factor
We found the factors 6723,5205 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,5205 is 3.
Lets's calculate LCM of 477,5350
Given numbers has no common factors except 1. So, there LCM is their product i.e 2551950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2551950
Therefore, the GCF of Fractions 6723/477,5205/5350 is 3/2551950
Least Common Multiple of 477,5350 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 477,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,5350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,5350) x common factors =1 x 1 = 1
LCM(477,5350) = ( 477 × 5350 ) / 1
LCM(477,5350) = 2551950 / 1
LCM(477,5350) = 2551950
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FAQs on GCF of Fractions of 6723/477, 5205/5350
1. What is the HCF of 6723,5205?
The HCF of 6723,5205 is 3
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 6723/477, 5205/5350?
Answer: GCF of Numerators as per given numbers 6723/477, 5205/5350 is
GCF of Numerators i.e. for 6723,5205 is 3
LCM of denominators i.e. for 477,5350 is 2551950.
Thus, GCF of Fractions is 3/2551950.Finally, GCF of Fractions for 6723/477, 5205/5350 is 3/2551950.