GCF of 6504/307, 6008/5411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6504/307, 6008/5411 i.e 8/1661177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6504/307, 6008/5411.
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 6504/307,6008/5411?
Given fractions are 6504/307,6008/5411
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 6504/307,6008/5411, numerators are 6504,6008
Denominators are 307,5411
The GCF of 6504,6008 is 8 .
LCM of 307,5411 is 1661177.
The greatest common factor of 6504/307,6008/5411 = [GCF of 6504,6008]/[LCM of 307,5411]= 8/1661177
Therefore, the GCF of 6504/307,6008/5411 is 8/1661177.
To find the highest common factor of 6504,6008, we have to find the factors of both numbers and list the highest common factor.
The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504
The factors of 6008 are 1, 2, 4, 8, 751, 1502, 3004, 6008
The HCF of 6504,6008 is 8.
Lets's calculate GCF of 6504,6008
| 2 | 6504, 6008 |
| 2 | 3252, 3004 |
| 2 | 1626, 1502 |
| 813, 751 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6504,6008 By Matching Biggest Common Factor Method
Now, list down the factors of 6504
:1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504
Now, list down the factors of 6008
:1,2,4,8,751,1502,3004,6008
Greatest Common Factor
We found the factors 6504,6008 . The biggest common factor number is the GCF number.
So the greatest common factor 6504,6008 is 8.
Lets's calculate LCM of 307,5411
Given numbers has no common factors except 1. So, there LCM is their product i.e 1661177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1661177
Therefore, the GCF of Fractions 6504/307,6008/5411 is 8/1661177
Least Common Multiple of 307,5411 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 307,5411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5411) x common factors =1 x 1 = 1
LCM(307,5411) = ( 307 × 5411 ) / 1
LCM(307,5411) = 1661177 / 1
LCM(307,5411) = 1661177
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FAQs on GCF of Fractions of 6504/307, 6008/5411
1. What is the HCF of 6504,6008?
The HCF of 6504,6008 is 8
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 6504/307, 6008/5411?
Answer: GCF of Numerators as per given numbers 6504/307, 6008/5411 is
GCF of Numerators i.e. for 6504,6008 is 8
LCM of denominators i.e. for 307,5411 is 1661177.
Thus, GCF of Fractions is 8/1661177.Finally, GCF of Fractions for 6504/307, 6008/5411 is 8/1661177.