GCF of 1668/746, 1320/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1668/746, 1320/227 i.e 12/169342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1668/746, 1320/227.
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 1668/746,1320/227?
Given fractions are 1668/746,1320/227
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 1668/746,1320/227, numerators are 1668,1320
Denominators are 746,227
The GCF of 1668,1320 is 12 .
LCM of 746,227 is 169342.
The greatest common factor of 1668/746,1320/227 = [GCF of 1668,1320]/[LCM of 746,227]= 12/169342
Therefore, the GCF of 1668/746,1320/227 is 12/169342.
To find the highest common factor of 1668,1320, we have to find the factors of both numbers and list the highest common factor.
The factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668
The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
The HCF of 1668,1320 is 12.
Lets's calculate GCF of 1668,1320
| 2 | 1668, 1320 |
| 2 | 834, 660 |
| 3 | 417, 330 |
| 139, 110 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1668,1320 By Matching Biggest Common Factor Method
Now, list down the factors of 1668
:1,2,3,4,6,12,139,278,417,556,834,1668
Now, list down the factors of 1320
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320
Greatest Common Factor
We found the factors 1668,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 1668,1320 is 12.
Lets's calculate LCM of 746,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 169342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/169342
Therefore, the GCF of Fractions 1668/746,1320/227 is 12/169342
Least Common Multiple of 746,227 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 746,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,227) x common factors =1 x 1 = 1
LCM(746,227) = ( 746 × 227 ) / 1
LCM(746,227) = 169342 / 1
LCM(746,227) = 169342
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FAQs on GCF of Fractions of 1668/746, 1320/227
1. What is the HCF of 1668,1320?
The HCF of 1668,1320 is 12
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 1668/746, 1320/227?
Answer: GCF of Numerators as per given numbers 1668/746, 1320/227 is
GCF of Numerators i.e. for 1668,1320 is 12
LCM of denominators i.e. for 746,227 is 169342.
Thus, GCF of Fractions is 12/169342.Finally, GCF of Fractions for 1668/746, 1320/227 is 12/169342.