GCF of 3840/159, 9758/1758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3840/159, 9758/1758 i.e 2/93174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3840/159, 9758/1758.
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 3840/159,9758/1758?
Given fractions are 3840/159,9758/1758
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 3840/159,9758/1758, numerators are 3840,9758
Denominators are 159,1758
The GCF of 3840,9758 is 2 .
LCM of 159,1758 is 93174.
The greatest common factor of 3840/159,9758/1758 = [GCF of 3840,9758]/[LCM of 159,1758]= 2/93174
Therefore, the GCF of 3840/159,9758/1758 is 2/93174.
To find the highest common factor of 3840,9758, we have to find the factors of both numbers and list the highest common factor.
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The HCF of 3840,9758 is 2.
Lets's calculate GCF of 3840,9758
| 2 | 3840, 9758 |
| 1920, 4879 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3840,9758 By Matching Biggest Common Factor Method
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors 3840,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,9758 is 2.
Lets's calculate LCM of 159,1758
| 3 | 159, 1758 |
| 53, 586 |
∴ So the LCM of the given numbers is 3 x 53 x 586 = 93174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93174
Therefore, the GCF of Fractions 3840/159,9758/1758 is 2/93174
Least Common Multiple of 159,1758 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 159,1758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,1758) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,1758) x common factors =3 x 1 = 3
LCM(159,1758) = ( 159 × 1758 ) / 3
LCM(159,1758) = 279522 / 3
LCM(159,1758) = 93174
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FAQs on GCF of Fractions of 3840/159, 9758/1758
1. What is the HCF of 3840,9758?
The HCF of 3840,9758 is 2
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 3840/159, 9758/1758?
Answer: GCF of Numerators as per given numbers 3840/159, 9758/1758 is
GCF of Numerators i.e. for 3840,9758 is 2
LCM of denominators i.e. for 159,1758 is 93174.
Thus, GCF of Fractions is 2/93174.Finally, GCF of Fractions for 3840/159, 9758/1758 is 2/93174.