GCF of 6482/567, 1306/5776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6482/567, 1306/5776 i.e 2/3274992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6482/567, 1306/5776.
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 6482/567,1306/5776?
Given fractions are 6482/567,1306/5776
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 6482/567,1306/5776, numerators are 6482,1306
Denominators are 567,5776
The GCF of 6482,1306 is 2 .
LCM of 567,5776 is 3274992.
The greatest common factor of 6482/567,1306/5776 = [GCF of 6482,1306]/[LCM of 567,5776]= 2/3274992
Therefore, the GCF of 6482/567,1306/5776 is 2/3274992.
To find the highest common factor of 6482,1306, we have to find the factors of both numbers and list the highest common factor.
The factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482
The factors of 1306 are 1, 2, 653, 1306
The HCF of 6482,1306 is 2.
Lets's calculate GCF of 6482,1306
| 2 | 6482, 1306 |
| 3241, 653 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6482,1306 By Matching Biggest Common Factor Method
Now, list down the factors of 6482
:1,2,7,14,463,926,3241,6482
Now, list down the factors of 1306
:1,2,653,1306
Greatest Common Factor
We found the factors 6482,1306 . The biggest common factor number is the GCF number.
So the greatest common factor 6482,1306 is 2.
Lets's calculate LCM of 567,5776
Given numbers has no common factors except 1. So, there LCM is their product i.e 3274992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3274992
Therefore, the GCF of Fractions 6482/567,1306/5776 is 2/3274992
Least Common Multiple of 567,5776 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 567,5776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,5776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,5776) x common factors =1 x 1 = 1
LCM(567,5776) = ( 567 × 5776 ) / 1
LCM(567,5776) = 3274992 / 1
LCM(567,5776) = 3274992
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FAQs on GCF of Fractions of 6482/567, 1306/5776
1. What is the HCF of 6482,1306?
The HCF of 6482,1306 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 6482/567, 1306/5776?
Answer: GCF of Numerators as per given numbers 6482/567, 1306/5776 is
GCF of Numerators i.e. for 6482,1306 is 2
LCM of denominators i.e. for 567,5776 is 3274992.
Thus, GCF of Fractions is 2/3274992.Finally, GCF of Fractions for 6482/567, 1306/5776 is 2/3274992.