GCF of 8395/177, 3840/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8395/177, 3840/258 i.e 5/15222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8395/177, 3840/258.
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 8395/177,3840/258?
Given fractions are 8395/177,3840/258
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 8395/177,3840/258, numerators are 8395,3840
Denominators are 177,258
The GCF of 8395,3840 is 5 .
LCM of 177,258 is 15222.
The greatest common factor of 8395/177,3840/258 = [GCF of 8395,3840]/[LCM of 177,258]= 5/15222
Therefore, the GCF of 8395/177,3840/258 is 5/15222.
To find the highest common factor of 8395,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395
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 HCF of 8395,3840 is 5.
Lets's calculate GCF of 8395,3840
| 5 | 8395, 3840 |
| 1679, 768 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8395,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 8395
:1,5,23,73,115,365,1679,8395
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
Greatest Common Factor
We found the factors 8395,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 8395,3840 is 5.
Lets's calculate LCM of 177,258
| 3 | 177, 258 |
| 59, 86 |
∴ So the LCM of the given numbers is 3 x 59 x 86 = 15222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/15222
Therefore, the GCF of Fractions 8395/177,3840/258 is 5/15222
Least Common Multiple of 177,258 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 177,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,258) x common factors =3 x 1 = 3
LCM(177,258) = ( 177 × 258 ) / 3
LCM(177,258) = 45666 / 3
LCM(177,258) = 15222
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FAQs on GCF of Fractions of 8395/177, 3840/258
1. What is the HCF of 8395,3840?
The HCF of 8395,3840 is 5
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 8395/177, 3840/258?
Answer: GCF of Numerators as per given numbers 8395/177, 3840/258 is
GCF of Numerators i.e. for 8395,3840 is 5
LCM of denominators i.e. for 177,258 is 15222.
Thus, GCF of Fractions is 5/15222.Finally, GCF of Fractions for 8395/177, 3840/258 is 5/15222.