GCF of 9258/218, 8675/4604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9258/218, 8675/4604 i.e 1/501836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9258/218, 8675/4604.
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 9258/218,8675/4604?
Given fractions are 9258/218,8675/4604
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 9258/218,8675/4604, numerators are 9258,8675
Denominators are 218,4604
The GCF of 9258,8675 is 1 .
LCM of 218,4604 is 501836.
The greatest common factor of 9258/218,8675/4604 = [GCF of 9258,8675]/[LCM of 218,4604]= 1/501836
Therefore, the GCF of 9258/218,8675/4604 is 1/501836.
To find the highest common factor of 9258,8675, we have to find the factors of both numbers and list the highest common factor.
The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The HCF of 9258,8675 is 1.
Lets's calculate GCF of 9258,8675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9258,8675 By Matching Biggest Common Factor Method
Now, list down the factors of 9258
:1,2,3,6,1543,3086,4629,9258
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Greatest Common Factor
We found the factors 9258,8675 . The biggest common factor number is the GCF number.
So the greatest common factor 9258,8675 is 1.
Lets's calculate LCM of 218,4604
| 2 | 218, 4604 |
| 109, 2302 |
∴ So the LCM of the given numbers is 2 x 109 x 2302 = 501836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501836
Therefore, the GCF of Fractions 9258/218,8675/4604 is 1/501836
Least Common Multiple of 218,4604 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 218,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,4604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,4604) x common factors =2 x 1 = 2
LCM(218,4604) = ( 218 × 4604 ) / 2
LCM(218,4604) = 1003672 / 2
LCM(218,4604) = 501836
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FAQs on GCF of Fractions of 9258/218, 8675/4604
1. What is the HCF of 9258,8675?
The HCF of 9258,8675 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 9258/218, 8675/4604?
Answer: GCF of Numerators as per given numbers 9258/218, 8675/4604 is
GCF of Numerators i.e. for 9258,8675 is 1
LCM of denominators i.e. for 218,4604 is 501836.
Thus, GCF of Fractions is 1/501836.Finally, GCF of Fractions for 9258/218, 8675/4604 is 1/501836.