GCF of 8286/751, 2296/4662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8286/751, 2296/4662 i.e 2/3501162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8286/751, 2296/4662.
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 8286/751,2296/4662?
Given fractions are 8286/751,2296/4662
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 8286/751,2296/4662, numerators are 8286,2296
Denominators are 751,4662
The GCF of 8286,2296 is 2 .
LCM of 751,4662 is 3501162.
The greatest common factor of 8286/751,2296/4662 = [GCF of 8286,2296]/[LCM of 751,4662]= 2/3501162
Therefore, the GCF of 8286/751,2296/4662 is 2/3501162.
To find the highest common factor of 8286,2296, we have to find the factors of both numbers and list the highest common factor.
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The HCF of 8286,2296 is 2.
Lets's calculate GCF of 8286,2296
| 2 | 8286, 2296 |
| 4143, 1148 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8286,2296 By Matching Biggest Common Factor Method
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Greatest Common Factor
We found the factors 8286,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 8286,2296 is 2.
Lets's calculate LCM of 751,4662
Given numbers has no common factors except 1. So, there LCM is their product i.e 3501162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3501162
Therefore, the GCF of Fractions 8286/751,2296/4662 is 2/3501162
Least Common Multiple of 751,4662 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 751,4662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,4662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,4662) x common factors =1 x 1 = 1
LCM(751,4662) = ( 751 × 4662 ) / 1
LCM(751,4662) = 3501162 / 1
LCM(751,4662) = 3501162
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8286/751, 2296/4662
1. What is the HCF of 8286,2296?
The HCF of 8286,2296 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 8286/751, 2296/4662?
Answer: GCF of Numerators as per given numbers 8286/751, 2296/4662 is
GCF of Numerators i.e. for 8286,2296 is 2
LCM of denominators i.e. for 751,4662 is 3501162.
Thus, GCF of Fractions is 2/3501162.Finally, GCF of Fractions for 8286/751, 2296/4662 is 2/3501162.