GCF of 9585/234, 9612/7039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9585/234, 9612/7039 i.e 27/1647126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9585/234, 9612/7039.
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 9585/234,9612/7039?
Given fractions are 9585/234,9612/7039
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 9585/234,9612/7039, numerators are 9585,9612
Denominators are 234,7039
The GCF of 9585,9612 is 27 .
LCM of 234,7039 is 1647126.
The greatest common factor of 9585/234,9612/7039 = [GCF of 9585,9612]/[LCM of 234,7039]= 27/1647126
Therefore, the GCF of 9585/234,9612/7039 is 27/1647126.
To find the highest common factor of 9585,9612, we have to find the factors of both numbers and list the highest common factor.
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The HCF of 9585,9612 is 27.
Lets's calculate GCF of 9585,9612
| 3 | 9585, 9612 |
| 3 | 3195, 3204 |
| 3 | 1065, 1068 |
| 355, 356 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9585,9612 By Matching Biggest Common Factor Method
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Greatest Common Factor
We found the factors 9585,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 9585,9612 is 27.
Lets's calculate LCM of 234,7039
Given numbers has no common factors except 1. So, there LCM is their product i.e 1647126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1647126
Therefore, the GCF of Fractions 9585/234,9612/7039 is 27/1647126
Least Common Multiple of 234,7039 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 234,7039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,7039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,7039) x common factors =1 x 1 = 1
LCM(234,7039) = ( 234 × 7039 ) / 1
LCM(234,7039) = 1647126 / 1
LCM(234,7039) = 1647126
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FAQs on GCF of Fractions of 9585/234, 9612/7039
1. What is the HCF of 9585,9612?
The HCF of 9585,9612 is 27
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 9585/234, 9612/7039?
Answer: GCF of Numerators as per given numbers 9585/234, 9612/7039 is
GCF of Numerators i.e. for 9585,9612 is 27
LCM of denominators i.e. for 234,7039 is 1647126.
Thus, GCF of Fractions is 27/1647126.Finally, GCF of Fractions for 9585/234, 9612/7039 is 27/1647126.