GCF of 6501/809, 3204/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6501/809, 3204/564 i.e 3/456276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6501/809, 3204/564.
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 6501/809,3204/564?
Given fractions are 6501/809,3204/564
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 6501/809,3204/564, numerators are 6501,3204
Denominators are 809,564
The GCF of 6501,3204 is 3 .
LCM of 809,564 is 456276.
The greatest common factor of 6501/809,3204/564 = [GCF of 6501,3204]/[LCM of 809,564]= 3/456276
Therefore, the GCF of 6501/809,3204/564 is 3/456276.
To find the highest common factor of 6501,3204, we have to find the factors of both numbers and list the highest common factor.
The factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
The HCF of 6501,3204 is 3.
Lets's calculate GCF of 6501,3204
| 3 | 6501, 3204 |
| 2167, 1068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6501,3204 By Matching Biggest Common Factor Method
Now, list down the factors of 6501
:1,3,11,33,197,591,2167,6501
Now, list down the factors of 3204
:1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Greatest Common Factor
We found the factors 6501,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 6501,3204 is 3.
Lets's calculate LCM of 809,564
Given numbers has no common factors except 1. So, there LCM is their product i.e 456276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/456276
Therefore, the GCF of Fractions 6501/809,3204/564 is 3/456276
Least Common Multiple of 809,564 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 809,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,564) x common factors =1 x 1 = 1
LCM(809,564) = ( 809 × 564 ) / 1
LCM(809,564) = 456276 / 1
LCM(809,564) = 456276
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FAQs on GCF of Fractions of 6501/809, 3204/564
1. What is the HCF of 6501,3204?
The HCF of 6501,3204 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 6501/809, 3204/564?
Answer: GCF of Numerators as per given numbers 6501/809, 3204/564 is
GCF of Numerators i.e. for 6501,3204 is 3
LCM of denominators i.e. for 809,564 is 456276.
Thus, GCF of Fractions is 3/456276.Finally, GCF of Fractions for 6501/809, 3204/564 is 3/456276.