GCF of 8671/168, 9673/1774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8671/168, 9673/1774 i.e 1/149016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8671/168, 9673/1774.
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 8671/168,9673/1774?
Given fractions are 8671/168,9673/1774
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 8671/168,9673/1774, numerators are 8671,9673
Denominators are 168,1774
The GCF of 8671,9673 is 1 .
LCM of 168,1774 is 149016.
The greatest common factor of 8671/168,9673/1774 = [GCF of 8671,9673]/[LCM of 168,1774]= 1/149016
Therefore, the GCF of 8671/168,9673/1774 is 1/149016.
To find the highest common factor of 8671,9673, we have to find the factors of both numbers and list the highest common factor.
The factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671
The factors of 9673 are 1, 17, 569, 9673
The HCF of 8671,9673 is 1.
Lets's calculate GCF of 8671,9673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8671,9673 By Matching Biggest Common Factor Method
Now, list down the factors of 8671
:1,13,23,29,299,377,667,8671
Now, list down the factors of 9673
:1,17,569,9673
Greatest Common Factor
We found the factors 8671,9673 . The biggest common factor number is the GCF number.
So the greatest common factor 8671,9673 is 1.
Lets's calculate LCM of 168,1774
| 2 | 168, 1774 |
| 84, 887 |
∴ So the LCM of the given numbers is 2 x 84 x 887 = 149016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149016
Therefore, the GCF of Fractions 8671/168,9673/1774 is 1/149016
Least Common Multiple of 168,1774 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 168,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,1774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,1774) x common factors =2 x 1 = 2
LCM(168,1774) = ( 168 × 1774 ) / 2
LCM(168,1774) = 298032 / 2
LCM(168,1774) = 149016
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FAQs on GCF of Fractions of 8671/168, 9673/1774
1. What is the HCF of 8671,9673?
The HCF of 8671,9673 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 8671/168, 9673/1774?
Answer: GCF of Numerators as per given numbers 8671/168, 9673/1774 is
GCF of Numerators i.e. for 8671,9673 is 1
LCM of denominators i.e. for 168,1774 is 149016.
Thus, GCF of Fractions is 1/149016.Finally, GCF of Fractions for 8671/168, 9673/1774 is 1/149016.