GCF of 1326/105, 7047/1719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1326/105, 7047/1719 i.e 3/60165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1326/105, 7047/1719.
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 1326/105,7047/1719?
Given fractions are 1326/105,7047/1719
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 1326/105,7047/1719, numerators are 1326,7047
Denominators are 105,1719
The GCF of 1326,7047 is 3 .
LCM of 105,1719 is 60165.
The greatest common factor of 1326/105,7047/1719 = [GCF of 1326,7047]/[LCM of 105,1719]= 3/60165
Therefore, the GCF of 1326/105,7047/1719 is 3/60165.
To find the highest common factor of 1326,7047, we have to find the factors of both numbers and list the highest common factor.
The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326
The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047
The HCF of 1326,7047 is 3.
Lets's calculate GCF of 1326,7047
| 3 | 1326, 7047 |
| 442, 2349 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1326,7047 By Matching Biggest Common Factor Method
Now, list down the factors of 1326
:1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Now, list down the factors of 7047
:1,3,9,27,29,81,87,243,261,783,2349,7047
Greatest Common Factor
We found the factors 1326,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,7047 is 3.
Lets's calculate LCM of 105,1719
| 3 | 105, 1719 |
| 35, 573 |
∴ So the LCM of the given numbers is 3 x 35 x 573 = 60165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60165
Therefore, the GCF of Fractions 1326/105,7047/1719 is 3/60165
Least Common Multiple of 105,1719 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 105,1719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,1719) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,1719) x common factors =3 x 1 = 3
LCM(105,1719) = ( 105 × 1719 ) / 3
LCM(105,1719) = 180495 / 3
LCM(105,1719) = 60165
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FAQs on GCF of Fractions of 1326/105, 7047/1719
1. What is the HCF of 1326,7047?
The HCF of 1326,7047 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 1326/105, 7047/1719?
Answer: GCF of Numerators as per given numbers 1326/105, 7047/1719 is
GCF of Numerators i.e. for 1326,7047 is 3
LCM of denominators i.e. for 105,1719 is 60165.
Thus, GCF of Fractions is 3/60165.Finally, GCF of Fractions for 1326/105, 7047/1719 is 3/60165.