GCF of 8166/249, 8904/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8166/249, 8904/229 i.e 6/57021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8166/249, 8904/229.
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 8166/249,8904/229?
Given fractions are 8166/249,8904/229
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 8166/249,8904/229, numerators are 8166,8904
Denominators are 249,229
The GCF of 8166,8904 is 6 .
LCM of 249,229 is 57021.
The greatest common factor of 8166/249,8904/229 = [GCF of 8166,8904]/[LCM of 249,229]= 6/57021
Therefore, the GCF of 8166/249,8904/229 is 6/57021.
To find the highest common factor of 8166,8904, we have to find the factors of both numbers and list the highest common factor.
The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904
The HCF of 8166,8904 is 6.
Lets's calculate GCF of 8166,8904
| 2 | 8166, 8904 |
| 3 | 4083, 4452 |
| 1361, 1484 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8166,8904 By Matching Biggest Common Factor Method
Now, list down the factors of 8166
:1,2,3,6,1361,2722,4083,8166
Now, list down the factors of 8904
:1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Greatest Common Factor
We found the factors 8166,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 8166,8904 is 6.
Lets's calculate LCM of 249,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 57021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/57021
Therefore, the GCF of Fractions 8166/249,8904/229 is 6/57021
Least Common Multiple of 249,229 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 249,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,229) x common factors =1 x 1 = 1
LCM(249,229) = ( 249 × 229 ) / 1
LCM(249,229) = 57021 / 1
LCM(249,229) = 57021
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FAQs on GCF of Fractions of 8166/249, 8904/229
1. What is the HCF of 8166,8904?
The HCF of 8166,8904 is 6
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 8166/249, 8904/229?
Answer: GCF of Numerators as per given numbers 8166/249, 8904/229 is
GCF of Numerators i.e. for 8166,8904 is 6
LCM of denominators i.e. for 249,229 is 57021.
Thus, GCF of Fractions is 6/57021.Finally, GCF of Fractions for 8166/249, 8904/229 is 6/57021.