GCF of 7084/184, 8859/9752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7084/184, 8859/9752 i.e 1/9752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7084/184, 8859/9752.
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 7084/184,8859/9752?
Given fractions are 7084/184,8859/9752
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 7084/184,8859/9752, numerators are 7084,8859
Denominators are 184,9752
The GCF of 7084,8859 is 1 .
LCM of 184,9752 is 9752.
The greatest common factor of 7084/184,8859/9752 = [GCF of 7084,8859]/[LCM of 184,9752]= 1/9752
Therefore, the GCF of 7084/184,8859/9752 is 1/9752.
To find the highest common factor of 7084,8859, we have to find the factors of both numbers and list the highest common factor.
The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The factors of 8859 are 1, 3, 2953, 8859
The HCF of 7084,8859 is 1.
Lets's calculate GCF of 7084,8859
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7084,8859 By Matching Biggest Common Factor Method
Now, list down the factors of 7084
:1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084
Now, list down the factors of 8859
:1,3,2953,8859
Greatest Common Factor
We found the factors 7084,8859 . The biggest common factor number is the GCF number.
So the greatest common factor 7084,8859 is 1.
Lets's calculate LCM of 184,9752
| 2 | 184, 9752 |
| 2 | 92, 4876 |
| 2 | 46, 2438 |
| 23 | 23, 1219 |
| 1, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 1 x 53 = 9752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9752
Therefore, the GCF of Fractions 7084/184,8859/9752 is 1/9752
Least Common Multiple of 184,9752 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 184,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,9752) = 184
common factors(in case of two or more numbers have common factors) = 1
GCF(184,9752) x common factors =184 x 1 = 184
LCM(184,9752) = ( 184 × 9752 ) / 184
LCM(184,9752) = 1794368 / 184
LCM(184,9752) = 9752
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FAQs on GCF of Fractions of 7084/184, 8859/9752
1. What is the HCF of 7084,8859?
The HCF of 7084,8859 is 1
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 7084/184, 8859/9752?
Answer: GCF of Numerators as per given numbers 7084/184, 8859/9752 is
GCF of Numerators i.e. for 7084,8859 is 1
LCM of denominators i.e. for 184,9752 is 9752.
Thus, GCF of Fractions is 1/9752.Finally, GCF of Fractions for 7084/184, 8859/9752 is 1/9752.