GCF of 6064/600, 9714/6269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6064/600, 9714/6269 i.e 2/3761400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6064/600, 9714/6269.
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 6064/600,9714/6269?
Given fractions are 6064/600,9714/6269
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 6064/600,9714/6269, numerators are 6064,9714
Denominators are 600,6269
The GCF of 6064,9714 is 2 .
LCM of 600,6269 is 3761400.
The greatest common factor of 6064/600,9714/6269 = [GCF of 6064,9714]/[LCM of 600,6269]= 2/3761400
Therefore, the GCF of 6064/600,9714/6269 is 2/3761400.
To find the highest common factor of 6064,9714, we have to find the factors of both numbers and list the highest common factor.
The factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The HCF of 6064,9714 is 2.
Lets's calculate GCF of 6064,9714
| 2 | 6064, 9714 |
| 3032, 4857 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6064,9714 By Matching Biggest Common Factor Method
Now, list down the factors of 6064
:1,2,4,8,16,379,758,1516,3032,6064
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Greatest Common Factor
We found the factors 6064,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 6064,9714 is 2.
Lets's calculate LCM of 600,6269
Given numbers has no common factors except 1. So, there LCM is their product i.e 3761400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3761400
Therefore, the GCF of Fractions 6064/600,9714/6269 is 2/3761400
Least Common Multiple of 600,6269 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 600,6269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,6269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,6269) x common factors =1 x 1 = 1
LCM(600,6269) = ( 600 × 6269 ) / 1
LCM(600,6269) = 3761400 / 1
LCM(600,6269) = 3761400
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FAQs on GCF of Fractions of 6064/600, 9714/6269
1. What is the HCF of 6064,9714?
The HCF of 6064,9714 is 2
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 6064/600, 9714/6269?
Answer: GCF of Numerators as per given numbers 6064/600, 9714/6269 is
GCF of Numerators i.e. for 6064,9714 is 2
LCM of denominators i.e. for 600,6269 is 3761400.
Thus, GCF of Fractions is 2/3761400.Finally, GCF of Fractions for 6064/600, 9714/6269 is 2/3761400.