GCF of 1470/473, 9135/9720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1470/473, 9135/9720 i.e 105/4597560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1470/473, 9135/9720.
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 1470/473,9135/9720?
Given fractions are 1470/473,9135/9720
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 1470/473,9135/9720, numerators are 1470,9135
Denominators are 473,9720
The GCF of 1470,9135 is 105 .
LCM of 473,9720 is 4597560.
The greatest common factor of 1470/473,9135/9720 = [GCF of 1470,9135]/[LCM of 473,9720]= 105/4597560
Therefore, the GCF of 1470/473,9135/9720 is 105/4597560.
To find the highest common factor of 1470,9135, we have to find the factors of both numbers and list the highest common factor.
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The HCF of 1470,9135 is 105.
Lets's calculate GCF of 1470,9135
| 3 | 1470, 9135 |
| 5 | 490, 3045 |
| 7 | 98, 609 |
| 14, 87 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Greatest Common Factor of 1470,9135 By Matching Biggest Common Factor Method
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 1470,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 1470,9135 is 105.
Lets's calculate LCM of 473,9720
Given numbers has no common factors except 1. So, there LCM is their product i.e 4597560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/4597560
Therefore, the GCF of Fractions 1470/473,9135/9720 is 105/4597560
Least Common Multiple of 473,9720 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 473,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,9720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,9720) x common factors =1 x 1 = 1
LCM(473,9720) = ( 473 × 9720 ) / 1
LCM(473,9720) = 4597560 / 1
LCM(473,9720) = 4597560
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FAQs on GCF of Fractions of 1470/473, 9135/9720
1. What is the HCF of 1470,9135?
The HCF of 1470,9135 is 105
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 1470/473, 9135/9720?
Answer: GCF of Numerators as per given numbers 1470/473, 9135/9720 is
GCF of Numerators i.e. for 1470,9135 is 105
LCM of denominators i.e. for 473,9720 is 4597560.
Thus, GCF of Fractions is 105/4597560.Finally, GCF of Fractions for 1470/473, 9135/9720 is 105/4597560.