GCF of 9065/587, 7628/451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9065/587, 7628/451 i.e 1/264737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9065/587, 7628/451.
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 9065/587,7628/451?
Given fractions are 9065/587,7628/451
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 9065/587,7628/451, numerators are 9065,7628
Denominators are 587,451
The GCF of 9065,7628 is 1 .
LCM of 587,451 is 264737.
The greatest common factor of 9065/587,7628/451 = [GCF of 9065,7628]/[LCM of 587,451]= 1/264737
Therefore, the GCF of 9065/587,7628/451 is 1/264737.
To find the highest common factor of 9065,7628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065
The factors of 7628 are 1, 2, 4, 1907, 3814, 7628
The HCF of 9065,7628 is 1.
Lets's calculate GCF of 9065,7628
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9065,7628 By Matching Biggest Common Factor Method
Now, list down the factors of 9065
:1,5,7,35,37,49,185,245,259,1295,1813,9065
Now, list down the factors of 7628
:1,2,4,1907,3814,7628
Greatest Common Factor
We found the factors 9065,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,7628 is 1.
Lets's calculate LCM of 587,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 264737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264737
Therefore, the GCF of Fractions 9065/587,7628/451 is 1/264737
Least Common Multiple of 587,451 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 587,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,451) x common factors =1 x 1 = 1
LCM(587,451) = ( 587 × 451 ) / 1
LCM(587,451) = 264737 / 1
LCM(587,451) = 264737
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FAQs on GCF of Fractions of 9065/587, 7628/451
1. What is the HCF of 9065,7628?
The HCF of 9065,7628 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 9065/587, 7628/451?
Answer: GCF of Numerators as per given numbers 9065/587, 7628/451 is
GCF of Numerators i.e. for 9065,7628 is 1
LCM of denominators i.e. for 587,451 is 264737.
Thus, GCF of Fractions is 1/264737.Finally, GCF of Fractions for 9065/587, 7628/451 is 1/264737.