GCF of 9648/396, 8058/6644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9648/396, 8058/6644 i.e 6/59796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9648/396, 8058/6644.
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 9648/396,8058/6644?
Given fractions are 9648/396,8058/6644
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 9648/396,8058/6644, numerators are 9648,8058
Denominators are 396,6644
The GCF of 9648,8058 is 6 .
LCM of 396,6644 is 59796.
The greatest common factor of 9648/396,8058/6644 = [GCF of 9648,8058]/[LCM of 396,6644]= 6/59796
Therefore, the GCF of 9648/396,8058/6644 is 6/59796.
To find the highest common factor of 9648,8058, we have to find the factors of both numbers and list the highest common factor.
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
The HCF of 9648,8058 is 6.
Lets's calculate GCF of 9648,8058
| 2 | 9648, 8058 |
| 3 | 4824, 4029 |
| 1608, 1343 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9648,8058 By Matching Biggest Common Factor Method
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Now, list down the factors of 8058
:1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Greatest Common Factor
We found the factors 9648,8058 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,8058 is 6.
Lets's calculate LCM of 396,6644
| 2 | 396, 6644 |
| 2 | 198, 3322 |
| 11 | 99, 1661 |
| 9, 151 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 9 x 151 = 59796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/59796
Therefore, the GCF of Fractions 9648/396,8058/6644 is 6/59796
Least Common Multiple of 396,6644 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 396,6644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,6644) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(396,6644) x common factors =44 x 1 = 44
LCM(396,6644) = ( 396 × 6644 ) / 44
LCM(396,6644) = 2631024 / 44
LCM(396,6644) = 59796
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9648/396, 8058/6644
1. What is the HCF of 9648,8058?
The HCF of 9648,8058 is 6
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 9648/396, 8058/6644?
Answer: GCF of Numerators as per given numbers 9648/396, 8058/6644 is
GCF of Numerators i.e. for 9648,8058 is 6
LCM of denominators i.e. for 396,6644 is 59796.
Thus, GCF of Fractions is 6/59796.Finally, GCF of Fractions for 9648/396, 8058/6644 is 6/59796.