GCF of 8210/844, 4226/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8210/844, 4226/116 i.e 2/24476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8210/844, 4226/116.
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 8210/844,4226/116?
Given fractions are 8210/844,4226/116
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 8210/844,4226/116, numerators are 8210,4226
Denominators are 844,116
The GCF of 8210,4226 is 2 .
LCM of 844,116 is 24476.
The greatest common factor of 8210/844,4226/116 = [GCF of 8210,4226]/[LCM of 844,116]= 2/24476
Therefore, the GCF of 8210/844,4226/116 is 2/24476.
To find the highest common factor of 8210,4226, we have to find the factors of both numbers and list the highest common factor.
The factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210
The factors of 4226 are 1, 2, 2113, 4226
The HCF of 8210,4226 is 2.
Lets's calculate GCF of 8210,4226
| 2 | 8210, 4226 |
| 4105, 2113 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8210,4226 By Matching Biggest Common Factor Method
Now, list down the factors of 8210
:1,2,5,10,821,1642,4105,8210
Now, list down the factors of 4226
:1,2,2113,4226
Greatest Common Factor
We found the factors 8210,4226 . The biggest common factor number is the GCF number.
So the greatest common factor 8210,4226 is 2.
Lets's calculate LCM of 844,116
| 2 | 844, 116 |
| 2 | 422, 58 |
| 211, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 29 = 24476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24476
Therefore, the GCF of Fractions 8210/844,4226/116 is 2/24476
Least Common Multiple of 844,116 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 844,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,116) x common factors =4 x 1 = 4
LCM(844,116) = ( 844 × 116 ) / 4
LCM(844,116) = 97904 / 4
LCM(844,116) = 24476
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FAQs on GCF of Fractions of 8210/844, 4226/116
1. What is the HCF of 8210,4226?
The HCF of 8210,4226 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 8210/844, 4226/116?
Answer: GCF of Numerators as per given numbers 8210/844, 4226/116 is
GCF of Numerators i.e. for 8210,4226 is 2
LCM of denominators i.e. for 844,116 is 24476.
Thus, GCF of Fractions is 2/24476.Finally, GCF of Fractions for 8210/844, 4226/116 is 2/24476.