GCF of 4196/320, 8910/3096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4196/320, 8910/3096 i.e 2/123840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4196/320, 8910/3096.
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 4196/320,8910/3096?
Given fractions are 4196/320,8910/3096
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 4196/320,8910/3096, numerators are 4196,8910
Denominators are 320,3096
The GCF of 4196,8910 is 2 .
LCM of 320,3096 is 123840.
The greatest common factor of 4196/320,8910/3096 = [GCF of 4196,8910]/[LCM of 320,3096]= 2/123840
Therefore, the GCF of 4196/320,8910/3096 is 2/123840.
To find the highest common factor of 4196,8910, we have to find the factors of both numbers and list the highest common factor.
The factors of 4196 are 1, 2, 4, 1049, 2098, 4196
The factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910
The HCF of 4196,8910 is 2.
Lets's calculate GCF of 4196,8910
| 2 | 4196, 8910 |
| 2098, 4455 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4196,8910 By Matching Biggest Common Factor Method
Now, list down the factors of 4196
:1,2,4,1049,2098,4196
Now, list down the factors of 8910
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Greatest Common Factor
We found the factors 4196,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 4196,8910 is 2.
Lets's calculate LCM of 320,3096
| 2 | 320, 3096 |
| 2 | 160, 1548 |
| 2 | 80, 774 |
| 40, 387 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 40 x 387 = 123840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123840
Therefore, the GCF of Fractions 4196/320,8910/3096 is 2/123840
Least Common Multiple of 320,3096 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 320,3096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,3096) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(320,3096) x common factors =8 x 1 = 8
LCM(320,3096) = ( 320 × 3096 ) / 8
LCM(320,3096) = 990720 / 8
LCM(320,3096) = 123840
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FAQs on GCF of Fractions of 4196/320, 8910/3096
1. What is the HCF of 4196,8910?
The HCF of 4196,8910 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 4196/320, 8910/3096?
Answer: GCF of Numerators as per given numbers 4196/320, 8910/3096 is
GCF of Numerators i.e. for 4196,8910 is 2
LCM of denominators i.e. for 320,3096 is 123840.
Thus, GCF of Fractions is 2/123840.Finally, GCF of Fractions for 4196/320, 8910/3096 is 2/123840.