GCF of 8573/438, 8575/8631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8573/438, 8575/8631 i.e 1/1260126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8573/438, 8575/8631.
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 8573/438,8575/8631?
Given fractions are 8573/438,8575/8631
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 8573/438,8575/8631, numerators are 8573,8575
Denominators are 438,8631
The GCF of 8573,8575 is 1 .
LCM of 438,8631 is 1260126.
The greatest common factor of 8573/438,8575/8631 = [GCF of 8573,8575]/[LCM of 438,8631]= 1/1260126
Therefore, the GCF of 8573/438,8575/8631 is 1/1260126.
To find the highest common factor of 8573,8575, we have to find the factors of both numbers and list the highest common factor.
The factors of 8573 are 1, 8573
The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
The HCF of 8573,8575 is 1.
Lets's calculate GCF of 8573,8575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8573,8575 By Matching Biggest Common Factor Method
Now, list down the factors of 8573
:1,8573
Now, list down the factors of 8575
:1,5,7,25,35,49,175,245,343,1225,1715,8575
Greatest Common Factor
We found the factors 8573,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 8573,8575 is 1.
Lets's calculate LCM of 438,8631
| 3 | 438, 8631 |
| 146, 2877 |
∴ So the LCM of the given numbers is 3 x 146 x 2877 = 1260126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260126
Therefore, the GCF of Fractions 8573/438,8575/8631 is 1/1260126
Least Common Multiple of 438,8631 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 438,8631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,8631) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(438,8631) x common factors =3 x 1 = 3
LCM(438,8631) = ( 438 × 8631 ) / 3
LCM(438,8631) = 3780378 / 3
LCM(438,8631) = 1260126
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8573/438, 8575/8631
1. What is the HCF of 8573,8575?
The HCF of 8573,8575 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 8573/438, 8575/8631?
Answer: GCF of Numerators as per given numbers 8573/438, 8575/8631 is
GCF of Numerators i.e. for 8573,8575 is 1
LCM of denominators i.e. for 438,8631 is 1260126.
Thus, GCF of Fractions is 1/1260126.Finally, GCF of Fractions for 8573/438, 8575/8631 is 1/1260126.