GCF of 8266/666, 2361/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8266/666, 2361/132 i.e 1/14652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8266/666, 2361/132.
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 8266/666,2361/132?
Given fractions are 8266/666,2361/132
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 8266/666,2361/132, numerators are 8266,2361
Denominators are 666,132
The GCF of 8266,2361 is 1 .
LCM of 666,132 is 14652.
The greatest common factor of 8266/666,2361/132 = [GCF of 8266,2361]/[LCM of 666,132]= 1/14652
Therefore, the GCF of 8266/666,2361/132 is 1/14652.
To find the highest common factor of 8266,2361, we have to find the factors of both numbers and list the highest common factor.
The factors of 8266 are 1, 2, 4133, 8266
The factors of 2361 are 1, 3, 787, 2361
The HCF of 8266,2361 is 1.
Lets's calculate GCF of 8266,2361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8266,2361 By Matching Biggest Common Factor Method
Now, list down the factors of 8266
:1,2,4133,8266
Now, list down the factors of 2361
:1,3,787,2361
Greatest Common Factor
We found the factors 8266,2361 . The biggest common factor number is the GCF number.
So the greatest common factor 8266,2361 is 1.
Lets's calculate LCM of 666,132
| 2 | 666, 132 |
| 3 | 333, 66 |
| 111, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 111 x 22 = 14652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14652
Therefore, the GCF of Fractions 8266/666,2361/132 is 1/14652
Least Common Multiple of 666,132 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 666,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,132) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(666,132) x common factors =6 x 1 = 6
LCM(666,132) = ( 666 × 132 ) / 6
LCM(666,132) = 87912 / 6
LCM(666,132) = 14652
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FAQs on GCF of Fractions of 8266/666, 2361/132
1. What is the HCF of 8266,2361?
The HCF of 8266,2361 is 1
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 8266/666, 2361/132?
Answer: GCF of Numerators as per given numbers 8266/666, 2361/132 is
GCF of Numerators i.e. for 8266,2361 is 1
LCM of denominators i.e. for 666,132 is 14652.
Thus, GCF of Fractions is 1/14652.Finally, GCF of Fractions for 8266/666, 2361/132 is 1/14652.