GCF of 2795/440, 9546/5743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2795/440, 9546/5743 i.e 43/2526920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2795/440, 9546/5743.
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 2795/440,9546/5743?
Given fractions are 2795/440,9546/5743
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 2795/440,9546/5743, numerators are 2795,9546
Denominators are 440,5743
The GCF of 2795,9546 is 43 .
LCM of 440,5743 is 2526920.
The greatest common factor of 2795/440,9546/5743 = [GCF of 2795,9546]/[LCM of 440,5743]= 43/2526920
Therefore, the GCF of 2795/440,9546/5743 is 43/2526920.
To find the highest common factor of 2795,9546, we have to find the factors of both numbers and list the highest common factor.
The factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795
The factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
The HCF of 2795,9546 is 43.
Lets's calculate GCF of 2795,9546
| 43 | 2795, 9546 |
| 65, 222 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 2795,9546 By Matching Biggest Common Factor Method
Now, list down the factors of 2795
:1,5,13,43,65,215,559,2795
Now, list down the factors of 9546
:1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Greatest Common Factor
We found the factors 2795,9546 . The biggest common factor number is the GCF number.
So the greatest common factor 2795,9546 is 43.
Lets's calculate LCM of 440,5743
Given numbers has no common factors except 1. So, there LCM is their product i.e 2526920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/2526920
Therefore, the GCF of Fractions 2795/440,9546/5743 is 43/2526920
Least Common Multiple of 440,5743 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 440,5743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,5743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,5743) x common factors =1 x 1 = 1
LCM(440,5743) = ( 440 × 5743 ) / 1
LCM(440,5743) = 2526920 / 1
LCM(440,5743) = 2526920
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FAQs on GCF of Fractions of 2795/440, 9546/5743
1. What is the HCF of 2795,9546?
The HCF of 2795,9546 is 43
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 2795/440, 9546/5743?
Answer: GCF of Numerators as per given numbers 2795/440, 9546/5743 is
GCF of Numerators i.e. for 2795,9546 is 43
LCM of denominators i.e. for 440,5743 is 2526920.
Thus, GCF of Fractions is 43/2526920.Finally, GCF of Fractions for 2795/440, 9546/5743 is 43/2526920.