GCF of 9603/267, 2898/1764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9603/267, 2898/1764 i.e 9/156996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9603/267, 2898/1764.
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 9603/267,2898/1764?
Given fractions are 9603/267,2898/1764
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 9603/267,2898/1764, numerators are 9603,2898
Denominators are 267,1764
The GCF of 9603,2898 is 9 .
LCM of 267,1764 is 156996.
The greatest common factor of 9603/267,2898/1764 = [GCF of 9603,2898]/[LCM of 267,1764]= 9/156996
Therefore, the GCF of 9603/267,2898/1764 is 9/156996.
To find the highest common factor of 9603,2898, we have to find the factors of both numbers and list the highest common factor.
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The HCF of 9603,2898 is 9.
Lets's calculate GCF of 9603,2898
| 3 | 9603, 2898 |
| 3 | 3201, 966 |
| 1067, 322 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9603,2898 By Matching Biggest Common Factor Method
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Greatest Common Factor
We found the factors 9603,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 9603,2898 is 9.
Lets's calculate LCM of 267,1764
| 3 | 267, 1764 |
| 89, 588 |
∴ So the LCM of the given numbers is 3 x 89 x 588 = 156996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/156996
Therefore, the GCF of Fractions 9603/267,2898/1764 is 9/156996
Least Common Multiple of 267,1764 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 267,1764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,1764) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,1764) x common factors =3 x 1 = 3
LCM(267,1764) = ( 267 × 1764 ) / 3
LCM(267,1764) = 470988 / 3
LCM(267,1764) = 156996
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FAQs on GCF of Fractions of 9603/267, 2898/1764
1. What is the HCF of 9603,2898?
The HCF of 9603,2898 is 9
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 9603/267, 2898/1764?
Answer: GCF of Numerators as per given numbers 9603/267, 2898/1764 is
GCF of Numerators i.e. for 9603,2898 is 9
LCM of denominators i.e. for 267,1764 is 156996.
Thus, GCF of Fractions is 9/156996.Finally, GCF of Fractions for 9603/267, 2898/1764 is 9/156996.