GCF of 8689/254, 2322/1728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8689/254, 2322/1728 i.e 1/219456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8689/254, 2322/1728.
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 8689/254,2322/1728?
Given fractions are 8689/254,2322/1728
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 8689/254,2322/1728, numerators are 8689,2322
Denominators are 254,1728
The GCF of 8689,2322 is 1 .
LCM of 254,1728 is 219456.
The greatest common factor of 8689/254,2322/1728 = [GCF of 8689,2322]/[LCM of 254,1728]= 1/219456
Therefore, the GCF of 8689/254,2322/1728 is 1/219456.
To find the highest common factor of 8689,2322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8689 are 1, 8689
The factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322
The HCF of 8689,2322 is 1.
Lets's calculate GCF of 8689,2322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8689,2322 By Matching Biggest Common Factor Method
Now, list down the factors of 8689
:1,8689
Now, list down the factors of 2322
:1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
Greatest Common Factor
We found the factors 8689,2322 . The biggest common factor number is the GCF number.
So the greatest common factor 8689,2322 is 1.
Lets's calculate LCM of 254,1728
| 2 | 254, 1728 |
| 127, 864 |
∴ So the LCM of the given numbers is 2 x 127 x 864 = 219456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219456
Therefore, the GCF of Fractions 8689/254,2322/1728 is 1/219456
Least Common Multiple of 254,1728 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 254,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,1728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,1728) x common factors =2 x 1 = 2
LCM(254,1728) = ( 254 × 1728 ) / 2
LCM(254,1728) = 438912 / 2
LCM(254,1728) = 219456
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FAQs on GCF of Fractions of 8689/254, 2322/1728
1. What is the HCF of 8689,2322?
The HCF of 8689,2322 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 8689/254, 2322/1728?
Answer: GCF of Numerators as per given numbers 8689/254, 2322/1728 is
GCF of Numerators i.e. for 8689,2322 is 1
LCM of denominators i.e. for 254,1728 is 219456.
Thus, GCF of Fractions is 1/219456.Finally, GCF of Fractions for 8689/254, 2322/1728 is 1/219456.