GCF of 1509/107, 9585/3216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1509/107, 9585/3216 i.e 3/344112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1509/107, 9585/3216.
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 1509/107,9585/3216?
Given fractions are 1509/107,9585/3216
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 1509/107,9585/3216, numerators are 1509,9585
Denominators are 107,3216
The GCF of 1509,9585 is 3 .
LCM of 107,3216 is 344112.
The greatest common factor of 1509/107,9585/3216 = [GCF of 1509,9585]/[LCM of 107,3216]= 3/344112
Therefore, the GCF of 1509/107,9585/3216 is 3/344112.
To find the highest common factor of 1509,9585, we have to find the factors of both numbers and list the highest common factor.
The factors of 1509 are 1, 3, 503, 1509
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The HCF of 1509,9585 is 3.
Lets's calculate GCF of 1509,9585
| 3 | 1509, 9585 |
| 503, 3195 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1509,9585 By Matching Biggest Common Factor Method
Now, list down the factors of 1509
:1,3,503,1509
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 1509,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 1509,9585 is 3.
Lets's calculate LCM of 107,3216
Given numbers has no common factors except 1. So, there LCM is their product i.e 344112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/344112
Therefore, the GCF of Fractions 1509/107,9585/3216 is 3/344112
Least Common Multiple of 107,3216 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 107,3216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,3216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,3216) x common factors =1 x 1 = 1
LCM(107,3216) = ( 107 × 3216 ) / 1
LCM(107,3216) = 344112 / 1
LCM(107,3216) = 344112
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FAQs on GCF of Fractions of 1509/107, 9585/3216
1. What is the HCF of 1509,9585?
The HCF of 1509,9585 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 1509/107, 9585/3216?
Answer: GCF of Numerators as per given numbers 1509/107, 9585/3216 is
GCF of Numerators i.e. for 1509,9585 is 3
LCM of denominators i.e. for 107,3216 is 344112.
Thus, GCF of Fractions is 3/344112.Finally, GCF of Fractions for 1509/107, 9585/3216 is 3/344112.