GCF of 3644/539, 6546/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3644/539, 6546/755 i.e 2/406945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3644/539, 6546/755.
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 3644/539,6546/755?
Given fractions are 3644/539,6546/755
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 3644/539,6546/755, numerators are 3644,6546
Denominators are 539,755
The GCF of 3644,6546 is 2 .
LCM of 539,755 is 406945.
The greatest common factor of 3644/539,6546/755 = [GCF of 3644,6546]/[LCM of 539,755]= 2/406945
Therefore, the GCF of 3644/539,6546/755 is 2/406945.
To find the highest common factor of 3644,6546, we have to find the factors of both numbers and list the highest common factor.
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546
The HCF of 3644,6546 is 2.
Lets's calculate GCF of 3644,6546
| 2 | 3644, 6546 |
| 1822, 3273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3644,6546 By Matching Biggest Common Factor Method
Now, list down the factors of 3644
:1,2,4,911,1822,3644
Now, list down the factors of 6546
:1,2,3,6,1091,2182,3273,6546
Greatest Common Factor
We found the factors 3644,6546 . The biggest common factor number is the GCF number.
So the greatest common factor 3644,6546 is 2.
Lets's calculate LCM of 539,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 406945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/406945
Therefore, the GCF of Fractions 3644/539,6546/755 is 2/406945
Least Common Multiple of 539,755 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 539,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,755) x common factors =1 x 1 = 1
LCM(539,755) = ( 539 × 755 ) / 1
LCM(539,755) = 406945 / 1
LCM(539,755) = 406945
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FAQs on GCF of Fractions of 3644/539, 6546/755
1. What is the HCF of 3644,6546?
The HCF of 3644,6546 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 3644/539, 6546/755?
Answer: GCF of Numerators as per given numbers 3644/539, 6546/755 is
GCF of Numerators i.e. for 3644,6546 is 2
LCM of denominators i.e. for 539,755 is 406945.
Thus, GCF of Fractions is 2/406945.Finally, GCF of Fractions for 3644/539, 6546/755 is 2/406945.