GCF of 6583/741, 7544/8315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6583/741, 7544/8315 i.e 1/6161415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6583/741, 7544/8315.
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 6583/741,7544/8315?
Given fractions are 6583/741,7544/8315
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 6583/741,7544/8315, numerators are 6583,7544
Denominators are 741,8315
The GCF of 6583,7544 is 1 .
LCM of 741,8315 is 6161415.
The greatest common factor of 6583/741,7544/8315 = [GCF of 6583,7544]/[LCM of 741,8315]= 1/6161415
Therefore, the GCF of 6583/741,7544/8315 is 1/6161415.
To find the highest common factor of 6583,7544, we have to find the factors of both numbers and list the highest common factor.
The factors of 6583 are 1, 29, 227, 6583
The factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544
The HCF of 6583,7544 is 1.
Lets's calculate GCF of 6583,7544
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6583,7544 By Matching Biggest Common Factor Method
Now, list down the factors of 6583
:1,29,227,6583
Now, list down the factors of 7544
:1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544
Greatest Common Factor
We found the factors 6583,7544 . The biggest common factor number is the GCF number.
So the greatest common factor 6583,7544 is 1.
Lets's calculate LCM of 741,8315
Given numbers has no common factors except 1. So, there LCM is their product i.e 6161415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6161415
Therefore, the GCF of Fractions 6583/741,7544/8315 is 1/6161415
Least Common Multiple of 741,8315 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 741,8315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,8315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,8315) x common factors =1 x 1 = 1
LCM(741,8315) = ( 741 × 8315 ) / 1
LCM(741,8315) = 6161415 / 1
LCM(741,8315) = 6161415
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FAQs on GCF of Fractions of 6583/741, 7544/8315
1. What is the HCF of 6583,7544?
The HCF of 6583,7544 is 1
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 6583/741, 7544/8315?
Answer: GCF of Numerators as per given numbers 6583/741, 7544/8315 is
GCF of Numerators i.e. for 6583,7544 is 1
LCM of denominators i.e. for 741,8315 is 6161415.
Thus, GCF of Fractions is 1/6161415.Finally, GCF of Fractions for 6583/741, 7544/8315 is 1/6161415.