GCF of 768/361, 8727/181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 768/361, 8727/181 i.e 3/65341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/361, 8727/181.
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 768/361,8727/181?
Given fractions are 768/361,8727/181
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 768/361,8727/181, numerators are 768,8727
Denominators are 361,181
The GCF of 768,8727 is 3 .
LCM of 361,181 is 65341.
The greatest common factor of 768/361,8727/181 = [GCF of 768,8727]/[LCM of 361,181]= 3/65341
Therefore, the GCF of 768/361,8727/181 is 3/65341.
To find the highest common factor of 768,8727, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 8727 are 1, 3, 2909, 8727
The HCF of 768,8727 is 3.
Lets's calculate GCF of 768,8727
| 3 | 768, 8727 |
| 256, 2909 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 768,8727 By Matching Biggest Common Factor Method
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 8727
:1,3,2909,8727
Greatest Common Factor
We found the factors 768,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 768,8727 is 3.
Lets's calculate LCM of 361,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 65341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65341
Therefore, the GCF of Fractions 768/361,8727/181 is 3/65341
Least Common Multiple of 361,181 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 361,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,181) x common factors =1 x 1 = 1
LCM(361,181) = ( 361 × 181 ) / 1
LCM(361,181) = 65341 / 1
LCM(361,181) = 65341
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FAQs on GCF of Fractions of 768/361, 8727/181
1. What is the HCF of 768,8727?
The HCF of 768,8727 is 3
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 768/361, 8727/181?
Answer: GCF of Numerators as per given numbers 768/361, 8727/181 is
GCF of Numerators i.e. for 768,8727 is 3
LCM of denominators i.e. for 361,181 is 65341.
Thus, GCF of Fractions is 3/65341.Finally, GCF of Fractions for 768/361, 8727/181 is 3/65341.