GCF of 8235/466, 8166/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8235/466, 8166/924 i.e 3/215292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8235/466, 8166/924.
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 8235/466,8166/924?
Given fractions are 8235/466,8166/924
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 8235/466,8166/924, numerators are 8235,8166
Denominators are 466,924
The GCF of 8235,8166 is 3 .
LCM of 466,924 is 215292.
The greatest common factor of 8235/466,8166/924 = [GCF of 8235,8166]/[LCM of 466,924]= 3/215292
Therefore, the GCF of 8235/466,8166/924 is 3/215292.
To find the highest common factor of 8235,8166, we have to find the factors of both numbers and list the highest common factor.
The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235
The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166
The HCF of 8235,8166 is 3.
Lets's calculate GCF of 8235,8166
| 3 | 8235, 8166 |
| 2745, 2722 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8235,8166 By Matching Biggest Common Factor Method
Now, list down the factors of 8235
:1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Now, list down the factors of 8166
:1,2,3,6,1361,2722,4083,8166
Greatest Common Factor
We found the factors 8235,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 8235,8166 is 3.
Lets's calculate LCM of 466,924
| 2 | 466, 924 |
| 233, 462 |
∴ So the LCM of the given numbers is 2 x 233 x 462 = 215292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215292
Therefore, the GCF of Fractions 8235/466,8166/924 is 3/215292
Least Common Multiple of 466,924 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 466,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,924) x common factors =2 x 1 = 2
LCM(466,924) = ( 466 × 924 ) / 2
LCM(466,924) = 430584 / 2
LCM(466,924) = 215292
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FAQs on GCF of Fractions of 8235/466, 8166/924
1. What is the HCF of 8235,8166?
The HCF of 8235,8166 is 3
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 8235/466, 8166/924?
Answer: GCF of Numerators as per given numbers 8235/466, 8166/924 is
GCF of Numerators i.e. for 8235,8166 is 3
LCM of denominators i.e. for 466,924 is 215292.
Thus, GCF of Fractions is 3/215292.Finally, GCF of Fractions for 8235/466, 8166/924 is 3/215292.