GCF of 8102/71, 3852/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8102/71, 3852/327 i.e 2/23217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8102/71, 3852/327.
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 8102/71,3852/327?
Given fractions are 8102/71,3852/327
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 8102/71,3852/327, numerators are 8102,3852
Denominators are 71,327
The GCF of 8102,3852 is 2 .
LCM of 71,327 is 23217.
The greatest common factor of 8102/71,3852/327 = [GCF of 8102,3852]/[LCM of 71,327]= 2/23217
Therefore, the GCF of 8102/71,3852/327 is 2/23217.
To find the highest common factor of 8102,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 8102 are 1, 2, 4051, 8102
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 8102,3852 is 2.
Lets's calculate GCF of 8102,3852
| 2 | 8102, 3852 |
| 4051, 1926 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8102,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 8102
:1,2,4051,8102
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 8102,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 8102,3852 is 2.
Lets's calculate LCM of 71,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 23217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23217
Therefore, the GCF of Fractions 8102/71,3852/327 is 2/23217
Least Common Multiple of 71,327 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 71,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,327) x common factors =1 x 1 = 1
LCM(71,327) = ( 71 × 327 ) / 1
LCM(71,327) = 23217 / 1
LCM(71,327) = 23217
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FAQs on GCF of Fractions of 8102/71, 3852/327
1. What is the HCF of 8102,3852?
The HCF of 8102,3852 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 8102/71, 3852/327?
Answer: GCF of Numerators as per given numbers 8102/71, 3852/327 is
GCF of Numerators i.e. for 8102,3852 is 2
LCM of denominators i.e. for 71,327 is 23217.
Thus, GCF of Fractions is 2/23217.Finally, GCF of Fractions for 8102/71, 3852/327 is 2/23217.