GCF of 9796/904, 8096/4555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9796/904, 8096/4555 i.e 4/4117720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9796/904, 8096/4555.
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 9796/904,8096/4555?
Given fractions are 9796/904,8096/4555
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 9796/904,8096/4555, numerators are 9796,8096
Denominators are 904,4555
The GCF of 9796,8096 is 4 .
LCM of 904,4555 is 4117720.
The greatest common factor of 9796/904,8096/4555 = [GCF of 9796,8096]/[LCM of 904,4555]= 4/4117720
Therefore, the GCF of 9796/904,8096/4555 is 4/4117720.
To find the highest common factor of 9796,8096, we have to find the factors of both numbers and list the highest common factor.
The factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796
The factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096
The HCF of 9796,8096 is 4.
Lets's calculate GCF of 9796,8096
| 2 | 9796, 8096 |
| 2 | 4898, 4048 |
| 2449, 2024 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9796,8096 By Matching Biggest Common Factor Method
Now, list down the factors of 9796
:1,2,4,31,62,79,124,158,316,2449,4898,9796
Now, list down the factors of 8096
:1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096
Greatest Common Factor
We found the factors 9796,8096 . The biggest common factor number is the GCF number.
So the greatest common factor 9796,8096 is 4.
Lets's calculate LCM of 904,4555
Given numbers has no common factors except 1. So, there LCM is their product i.e 4117720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4117720
Therefore, the GCF of Fractions 9796/904,8096/4555 is 4/4117720
Least Common Multiple of 904,4555 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 904,4555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,4555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,4555) x common factors =1 x 1 = 1
LCM(904,4555) = ( 904 × 4555 ) / 1
LCM(904,4555) = 4117720 / 1
LCM(904,4555) = 4117720
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FAQs on GCF of Fractions of 9796/904, 8096/4555
1. What is the HCF of 9796,8096?
The HCF of 9796,8096 is 4
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 9796/904, 8096/4555?
Answer: GCF of Numerators as per given numbers 9796/904, 8096/4555 is
GCF of Numerators i.e. for 9796,8096 is 4
LCM of denominators i.e. for 904,4555 is 4117720.
Thus, GCF of Fractions is 4/4117720.Finally, GCF of Fractions for 9796/904, 8096/4555 is 4/4117720.