GCF of 9594/796, 8905/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9594/796, 8905/992 i.e 13/197408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9594/796, 8905/992.
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 9594/796,8905/992?
Given fractions are 9594/796,8905/992
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 9594/796,8905/992, numerators are 9594,8905
Denominators are 796,992
The GCF of 9594,8905 is 13 .
LCM of 796,992 is 197408.
The greatest common factor of 9594/796,8905/992 = [GCF of 9594,8905]/[LCM of 796,992]= 13/197408
Therefore, the GCF of 9594/796,8905/992 is 13/197408.
To find the highest common factor of 9594,8905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905
The HCF of 9594,8905 is 13.
Lets's calculate GCF of 9594,8905
| 13 | 9594, 8905 |
| 738, 685 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9594,8905 By Matching Biggest Common Factor Method
Now, list down the factors of 9594
:1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Now, list down the factors of 8905
:1,5,13,65,137,685,1781,8905
Greatest Common Factor
We found the factors 9594,8905 . The biggest common factor number is the GCF number.
So the greatest common factor 9594,8905 is 13.
Lets's calculate LCM of 796,992
| 2 | 796, 992 |
| 2 | 398, 496 |
| 199, 248 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 248 = 197408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/197408
Therefore, the GCF of Fractions 9594/796,8905/992 is 13/197408
Least Common Multiple of 796,992 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 796,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,992) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(796,992) x common factors =4 x 1 = 4
LCM(796,992) = ( 796 × 992 ) / 4
LCM(796,992) = 789632 / 4
LCM(796,992) = 197408
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9594/796, 8905/992
1. What is the HCF of 9594,8905?
The HCF of 9594,8905 is 13
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 9594/796, 8905/992?
Answer: GCF of Numerators as per given numbers 9594/796, 8905/992 is
GCF of Numerators i.e. for 9594,8905 is 13
LCM of denominators i.e. for 796,992 is 197408.
Thus, GCF of Fractions is 13/197408.Finally, GCF of Fractions for 9594/796, 8905/992 is 13/197408.