GCF of 4161/266, 9651/1843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4161/266, 9651/1843 i.e 3/25802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4161/266, 9651/1843.
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 4161/266,9651/1843?
Given fractions are 4161/266,9651/1843
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 4161/266,9651/1843, numerators are 4161,9651
Denominators are 266,1843
The GCF of 4161,9651 is 3 .
LCM of 266,1843 is 25802.
The greatest common factor of 4161/266,9651/1843 = [GCF of 4161,9651]/[LCM of 266,1843]= 3/25802
Therefore, the GCF of 4161/266,9651/1843 is 3/25802.
To find the highest common factor of 4161,9651, we have to find the factors of both numbers and list the highest common factor.
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The factors of 9651 are 1, 3, 3217, 9651
The HCF of 4161,9651 is 3.
Lets's calculate GCF of 4161,9651
| 3 | 4161, 9651 |
| 1387, 3217 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4161,9651 By Matching Biggest Common Factor Method
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Now, list down the factors of 9651
:1,3,3217,9651
Greatest Common Factor
We found the factors 4161,9651 . The biggest common factor number is the GCF number.
So the greatest common factor 4161,9651 is 3.
Lets's calculate LCM of 266,1843
| 19 | 266, 1843 |
| 14, 97 |
∴ So the LCM of the given numbers is 19 x 14 x 97 = 25802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25802
Therefore, the GCF of Fractions 4161/266,9651/1843 is 3/25802
Least Common Multiple of 266,1843 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 266,1843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,1843) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(266,1843) x common factors =19 x 1 = 19
LCM(266,1843) = ( 266 × 1843 ) / 19
LCM(266,1843) = 490238 / 19
LCM(266,1843) = 25802
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FAQs on GCF of Fractions of 4161/266, 9651/1843
1. What is the HCF of 4161,9651?
The HCF of 4161,9651 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 4161/266, 9651/1843?
Answer: GCF of Numerators as per given numbers 4161/266, 9651/1843 is
GCF of Numerators i.e. for 4161,9651 is 3
LCM of denominators i.e. for 266,1843 is 25802.
Thus, GCF of Fractions is 3/25802.Finally, GCF of Fractions for 4161/266, 9651/1843 is 3/25802.