GCF of 9570/978, 3642/3648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9570/978, 3642/3648 i.e 6/594624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9570/978, 3642/3648.
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 9570/978,3642/3648?
Given fractions are 9570/978,3642/3648
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 9570/978,3642/3648, numerators are 9570,3642
Denominators are 978,3648
The GCF of 9570,3642 is 6 .
LCM of 978,3648 is 594624.
The greatest common factor of 9570/978,3642/3648 = [GCF of 9570,3642]/[LCM of 978,3648]= 6/594624
Therefore, the GCF of 9570/978,3642/3648 is 6/594624.
To find the highest common factor of 9570,3642, we have to find the factors of both numbers and list the highest common factor.
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642
The HCF of 9570,3642 is 6.
Lets's calculate GCF of 9570,3642
| 2 | 9570, 3642 |
| 3 | 4785, 1821 |
| 1595, 607 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9570,3642 By Matching Biggest Common Factor Method
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Now, list down the factors of 3642
:1,2,3,6,607,1214,1821,3642
Greatest Common Factor
We found the factors 9570,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 9570,3642 is 6.
Lets's calculate LCM of 978,3648
| 2 | 978, 3648 |
| 3 | 489, 1824 |
| 163, 608 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 608 = 594624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/594624
Therefore, the GCF of Fractions 9570/978,3642/3648 is 6/594624
Least Common Multiple of 978,3648 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 978,3648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3648) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3648) x common factors =6 x 1 = 6
LCM(978,3648) = ( 978 × 3648 ) / 6
LCM(978,3648) = 3567744 / 6
LCM(978,3648) = 594624
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FAQs on GCF of Fractions of 9570/978, 3642/3648
1. What is the HCF of 9570,3642?
The HCF of 9570,3642 is 6
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 9570/978, 3642/3648?
Answer: GCF of Numerators as per given numbers 9570/978, 3642/3648 is
GCF of Numerators i.e. for 9570,3642 is 6
LCM of denominators i.e. for 978,3648 is 594624.
Thus, GCF of Fractions is 6/594624.Finally, GCF of Fractions for 9570/978, 3642/3648 is 6/594624.