GCF of 9510/162, 8289/5594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9510/162, 8289/5594 i.e 3/453114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9510/162, 8289/5594.
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 9510/162,8289/5594?
Given fractions are 9510/162,8289/5594
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 9510/162,8289/5594, numerators are 9510,8289
Denominators are 162,5594
The GCF of 9510,8289 is 3 .
LCM of 162,5594 is 453114.
The greatest common factor of 9510/162,8289/5594 = [GCF of 9510,8289]/[LCM of 162,5594]= 3/453114
Therefore, the GCF of 9510/162,8289/5594 is 3/453114.
To find the highest common factor of 9510,8289, we have to find the factors of both numbers and list the highest common factor.
The factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The HCF of 9510,8289 is 3.
Lets's calculate GCF of 9510,8289
| 3 | 9510, 8289 |
| 3170, 2763 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9510,8289 By Matching Biggest Common Factor Method
Now, list down the factors of 9510
:1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Greatest Common Factor
We found the factors 9510,8289 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,8289 is 3.
Lets's calculate LCM of 162,5594
| 2 | 162, 5594 |
| 81, 2797 |
∴ So the LCM of the given numbers is 2 x 81 x 2797 = 453114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/453114
Therefore, the GCF of Fractions 9510/162,8289/5594 is 3/453114
Least Common Multiple of 162,5594 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 162,5594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,5594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,5594) x common factors =2 x 1 = 2
LCM(162,5594) = ( 162 × 5594 ) / 2
LCM(162,5594) = 906228 / 2
LCM(162,5594) = 453114
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FAQs on GCF of Fractions of 9510/162, 8289/5594
1. What is the HCF of 9510,8289?
The HCF of 9510,8289 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 9510/162, 8289/5594?
Answer: GCF of Numerators as per given numbers 9510/162, 8289/5594 is
GCF of Numerators i.e. for 9510,8289 is 3
LCM of denominators i.e. for 162,5594 is 453114.
Thus, GCF of Fractions is 3/453114.Finally, GCF of Fractions for 9510/162, 8289/5594 is 3/453114.