GCF of 9540/899, 8448/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9540/899, 8448/590 i.e 12/530410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9540/899, 8448/590.
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 9540/899,8448/590?
Given fractions are 9540/899,8448/590
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 9540/899,8448/590, numerators are 9540,8448
Denominators are 899,590
The GCF of 9540,8448 is 12 .
LCM of 899,590 is 530410.
The greatest common factor of 9540/899,8448/590 = [GCF of 9540,8448]/[LCM of 899,590]= 12/530410
Therefore, the GCF of 9540/899,8448/590 is 12/530410.
To find the highest common factor of 9540,8448, we have to find the factors of both numbers and list the highest common factor.
The factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540
The factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448
The HCF of 9540,8448 is 12.
Lets's calculate GCF of 9540,8448
| 2 | 9540, 8448 |
| 2 | 4770, 4224 |
| 3 | 2385, 2112 |
| 795, 704 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9540,8448 By Matching Biggest Common Factor Method
Now, list down the factors of 9540
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540
Now, list down the factors of 8448
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Greatest Common Factor
We found the factors 9540,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 9540,8448 is 12.
Lets's calculate LCM of 899,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 530410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/530410
Therefore, the GCF of Fractions 9540/899,8448/590 is 12/530410
Least Common Multiple of 899,590 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 899,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,590) x common factors =1 x 1 = 1
LCM(899,590) = ( 899 × 590 ) / 1
LCM(899,590) = 530410 / 1
LCM(899,590) = 530410
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FAQs on GCF of Fractions of 9540/899, 8448/590
1. What is the HCF of 9540,8448?
The HCF of 9540,8448 is 12
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 9540/899, 8448/590?
Answer: GCF of Numerators as per given numbers 9540/899, 8448/590 is
GCF of Numerators i.e. for 9540,8448 is 12
LCM of denominators i.e. for 899,590 is 530410.
Thus, GCF of Fractions is 12/530410.Finally, GCF of Fractions for 9540/899, 8448/590 is 12/530410.