GCF of 1815/806, 1290/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1815/806, 1290/970 i.e 15/390910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1815/806, 1290/970.
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 1815/806,1290/970?
Given fractions are 1815/806,1290/970
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 1815/806,1290/970, numerators are 1815,1290
Denominators are 806,970
The GCF of 1815,1290 is 15 .
LCM of 806,970 is 390910.
The greatest common factor of 1815/806,1290/970 = [GCF of 1815,1290]/[LCM of 806,970]= 15/390910
Therefore, the GCF of 1815/806,1290/970 is 15/390910.
To find the highest common factor of 1815,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 1815,1290 is 15.
Lets's calculate GCF of 1815,1290
| 3 | 1815, 1290 |
| 5 | 605, 430 |
| 121, 86 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1815,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 1815
:1,3,5,11,15,33,55,121,165,363,605,1815
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 1815,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 1815,1290 is 15.
Lets's calculate LCM of 806,970
| 2 | 806, 970 |
| 403, 485 |
∴ So the LCM of the given numbers is 2 x 403 x 485 = 390910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/390910
Therefore, the GCF of Fractions 1815/806,1290/970 is 15/390910
Least Common Multiple of 806,970 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 806,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,970) x common factors =2 x 1 = 2
LCM(806,970) = ( 806 × 970 ) / 2
LCM(806,970) = 781820 / 2
LCM(806,970) = 390910
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FAQs on GCF of Fractions of 1815/806, 1290/970
1. What is the HCF of 1815,1290?
The HCF of 1815,1290 is 15
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 1815/806, 1290/970?
Answer: GCF of Numerators as per given numbers 1815/806, 1290/970 is
GCF of Numerators i.e. for 1815,1290 is 15
LCM of denominators i.e. for 806,970 is 390910.
Thus, GCF of Fractions is 15/390910.Finally, GCF of Fractions for 1815/806, 1290/970 is 15/390910.