GCF of 8506/184, 4246/9253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8506/184, 4246/9253 i.e 2/1702552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8506/184, 4246/9253.
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 8506/184,4246/9253?
Given fractions are 8506/184,4246/9253
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 8506/184,4246/9253, numerators are 8506,4246
Denominators are 184,9253
The GCF of 8506,4246 is 2 .
LCM of 184,9253 is 1702552.
The greatest common factor of 8506/184,4246/9253 = [GCF of 8506,4246]/[LCM of 184,9253]= 2/1702552
Therefore, the GCF of 8506/184,4246/9253 is 2/1702552.
To find the highest common factor of 8506,4246, we have to find the factors of both numbers and list the highest common factor.
The factors of 8506 are 1, 2, 4253, 8506
The factors of 4246 are 1, 2, 11, 22, 193, 386, 2123, 4246
The HCF of 8506,4246 is 2.
Lets's calculate GCF of 8506,4246
| 2 | 8506, 4246 |
| 4253, 2123 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8506,4246 By Matching Biggest Common Factor Method
Now, list down the factors of 8506
:1,2,4253,8506
Now, list down the factors of 4246
:1,2,11,22,193,386,2123,4246
Greatest Common Factor
We found the factors 8506,4246 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,4246 is 2.
Lets's calculate LCM of 184,9253
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1702552
Therefore, the GCF of Fractions 8506/184,4246/9253 is 2/1702552
Least Common Multiple of 184,9253 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 184,9253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,9253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,9253) x common factors =1 x 1 = 1
LCM(184,9253) = ( 184 × 9253 ) / 1
LCM(184,9253) = 1702552 / 1
LCM(184,9253) = 1702552
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8506/184, 4246/9253
1. What is the HCF of 8506,4246?
The HCF of 8506,4246 is 2
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 8506/184, 4246/9253?
Answer: GCF of Numerators as per given numbers 8506/184, 4246/9253 is
GCF of Numerators i.e. for 8506,4246 is 2
LCM of denominators i.e. for 184,9253 is 1702552.
Thus, GCF of Fractions is 2/1702552.Finally, GCF of Fractions for 8506/184, 4246/9253 is 2/1702552.