GCF of 8496/405, 9676/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8496/405, 9676/300 i.e 236/8100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8496/405, 9676/300.
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 8496/405,9676/300?
Given fractions are 8496/405,9676/300
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 8496/405,9676/300, numerators are 8496,9676
Denominators are 405,300
The GCF of 8496,9676 is 236 .
LCM of 405,300 is 8100.
The greatest common factor of 8496/405,9676/300 = [GCF of 8496,9676]/[LCM of 405,300]= 236/8100
Therefore, the GCF of 8496/405,9676/300 is 236/8100.
To find the highest common factor of 8496,9676, we have to find the factors of both numbers and list the highest common factor.
The factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496
The factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676
The HCF of 8496,9676 is 236.
Lets's calculate GCF of 8496,9676
| 2 | 8496, 9676 |
| 2 | 4248, 4838 |
| 59 | 2124, 2419 |
| 36, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 59 = 236
Greatest Common Factor of 8496,9676 By Matching Biggest Common Factor Method
Now, list down the factors of 8496
:1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Now, list down the factors of 9676
:1,2,4,41,59,82,118,164,236,2419,4838,9676
Greatest Common Factor
We found the factors 8496,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,9676 is 236.
Lets's calculate LCM of 405,300
| 3 | 405, 300 |
| 5 | 135, 100 |
| 27, 20 |
∴ So the LCM of the given numbers is 3 x 5 x 27 x 20 = 8100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/8100
Therefore, the GCF of Fractions 8496/405,9676/300 is 236/8100
Least Common Multiple of 405,300 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 405,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,300) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(405,300) x common factors =15 x 1 = 15
LCM(405,300) = ( 405 × 300 ) / 15
LCM(405,300) = 121500 / 15
LCM(405,300) = 8100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8496/405, 9676/300
1. What is the HCF of 8496,9676?
The HCF of 8496,9676 is 236
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 8496/405, 9676/300?
Answer: GCF of Numerators as per given numbers 8496/405, 9676/300 is
GCF of Numerators i.e. for 8496,9676 is 236
LCM of denominators i.e. for 405,300 is 8100.
Thus, GCF of Fractions is 236/8100.Finally, GCF of Fractions for 8496/405, 9676/300 is 236/8100.