GCF of 8529/173, 9699/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8529/173, 9699/908 i.e 3/157084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8529/173, 9699/908.
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 8529/173,9699/908?
Given fractions are 8529/173,9699/908
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 8529/173,9699/908, numerators are 8529,9699
Denominators are 173,908
The GCF of 8529,9699 is 3 .
LCM of 173,908 is 157084.
The greatest common factor of 8529/173,9699/908 = [GCF of 8529,9699]/[LCM of 173,908]= 3/157084
Therefore, the GCF of 8529/173,9699/908 is 3/157084.
To find the highest common factor of 8529,9699, we have to find the factors of both numbers and list the highest common factor.
The factors of 8529 are 1, 3, 2843, 8529
The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699
The HCF of 8529,9699 is 3.
Lets's calculate GCF of 8529,9699
| 3 | 8529, 9699 |
| 2843, 3233 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8529,9699 By Matching Biggest Common Factor Method
Now, list down the factors of 8529
:1,3,2843,8529
Now, list down the factors of 9699
:1,3,53,61,159,183,3233,9699
Greatest Common Factor
We found the factors 8529,9699 . The biggest common factor number is the GCF number.
So the greatest common factor 8529,9699 is 3.
Lets's calculate LCM of 173,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 157084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/157084
Therefore, the GCF of Fractions 8529/173,9699/908 is 3/157084
Least Common Multiple of 173,908 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 173,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,908) x common factors =1 x 1 = 1
LCM(173,908) = ( 173 × 908 ) / 1
LCM(173,908) = 157084 / 1
LCM(173,908) = 157084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8529/173, 9699/908
1. What is the HCF of 8529,9699?
The HCF of 8529,9699 is 3
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 8529/173, 9699/908?
Answer: GCF of Numerators as per given numbers 8529/173, 9699/908 is
GCF of Numerators i.e. for 8529,9699 is 3
LCM of denominators i.e. for 173,908 is 157084.
Thus, GCF of Fractions is 3/157084.Finally, GCF of Fractions for 8529/173, 9699/908 is 3/157084.