GCF of 666/501, 2109/9967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/501, 2109/9967 i.e 111/4993467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/501, 2109/9967.
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 666/501,2109/9967?
Given fractions are 666/501,2109/9967
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 666/501,2109/9967, numerators are 666,2109
Denominators are 501,9967
The GCF of 666,2109 is 111 .
LCM of 501,9967 is 4993467.
The greatest common factor of 666/501,2109/9967 = [GCF of 666,2109]/[LCM of 501,9967]= 111/4993467
Therefore, the GCF of 666/501,2109/9967 is 111/4993467.
To find the highest common factor of 666,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 666,2109 is 111.
Lets's calculate GCF of 666,2109
| 3 | 666, 2109 |
| 37 | 222, 703 |
| 6, 19 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Greatest Common Factor of 666,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 666,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 666,2109 is 111.
Lets's calculate LCM of 501,9967
Given numbers has no common factors except 1. So, there LCM is their product i.e 4993467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/4993467
Therefore, the GCF of Fractions 666/501,2109/9967 is 111/4993467
Least Common Multiple of 501,9967 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 501,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,9967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,9967) x common factors =1 x 1 = 1
LCM(501,9967) = ( 501 × 9967 ) / 1
LCM(501,9967) = 4993467 / 1
LCM(501,9967) = 4993467
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FAQs on GCF of Fractions of 666/501, 2109/9967
1. What is the HCF of 666,2109?
The HCF of 666,2109 is 111
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 666/501, 2109/9967?
Answer: GCF of Numerators as per given numbers 666/501, 2109/9967 is
GCF of Numerators i.e. for 666,2109 is 111
LCM of denominators i.e. for 501,9967 is 4993467.
Thus, GCF of Fractions is 111/4993467.Finally, GCF of Fractions for 666/501, 2109/9967 is 111/4993467.