GCF of 666/68, 279/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/68, 279/109 i.e 9/7412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/68, 279/109.
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 666/68,279/109?
Given fractions are 666/68,279/109
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 666/68,279/109, numerators are 666,279
Denominators are 68,109
The GCF of 666,279 is 9 .
LCM of 68,109 is 7412.
The greatest common factor of 666/68,279/109 = [GCF of 666,279]/[LCM of 68,109]= 9/7412
Therefore, the GCF of 666/68,279/109 is 9/7412.
To find the highest common factor of 666,279, 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 279 are 1, 3, 9, 31, 93, 279
The HCF of 666,279 is 9.
Lets's calculate GCF of 666,279
| 3 | 666, 279 |
| 3 | 222, 93 |
| 74, 31 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 666,279 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 279
:1,3,9,31,93,279
Greatest Common Factor
We found the factors 666,279 . The biggest common factor number is the GCF number.
So the greatest common factor 666,279 is 9.
Lets's calculate LCM of 68,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 7412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7412
Therefore, the GCF of Fractions 666/68,279/109 is 9/7412
Least Common Multiple of 68,109 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 68,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,109) x common factors =1 x 1 = 1
LCM(68,109) = ( 68 × 109 ) / 1
LCM(68,109) = 7412 / 1
LCM(68,109) = 7412
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FAQs on GCF of Fractions of 666/68, 279/109
1. What is the HCF of 666,279?
The HCF of 666,279 is 9
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 666/68, 279/109?
Answer: GCF of Numerators as per given numbers 666/68, 279/109 is
GCF of Numerators i.e. for 666,279 is 9
LCM of denominators i.e. for 68,109 is 7412.
Thus, GCF of Fractions is 9/7412.Finally, GCF of Fractions for 666/68, 279/109 is 9/7412.