GCF of 8201/482, 4162/7716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8201/482, 4162/7716 i.e 1/1859556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8201/482, 4162/7716.
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 8201/482,4162/7716?
Given fractions are 8201/482,4162/7716
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 8201/482,4162/7716, numerators are 8201,4162
Denominators are 482,7716
The GCF of 8201,4162 is 1 .
LCM of 482,7716 is 1859556.
The greatest common factor of 8201/482,4162/7716 = [GCF of 8201,4162]/[LCM of 482,7716]= 1/1859556
Therefore, the GCF of 8201/482,4162/7716 is 1/1859556.
To find the highest common factor of 8201,4162, we have to find the factors of both numbers and list the highest common factor.
The factors of 8201 are 1, 59, 139, 8201
The factors of 4162 are 1, 2, 2081, 4162
The HCF of 8201,4162 is 1.
Lets's calculate GCF of 8201,4162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8201,4162 By Matching Biggest Common Factor Method
Now, list down the factors of 8201
:1,59,139,8201
Now, list down the factors of 4162
:1,2,2081,4162
Greatest Common Factor
We found the factors 8201,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 8201,4162 is 1.
Lets's calculate LCM of 482,7716
| 2 | 482, 7716 |
| 241, 3858 |
∴ So the LCM of the given numbers is 2 x 241 x 3858 = 1859556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1859556
Therefore, the GCF of Fractions 8201/482,4162/7716 is 1/1859556
Least Common Multiple of 482,7716 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 482,7716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,7716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,7716) x common factors =2 x 1 = 2
LCM(482,7716) = ( 482 × 7716 ) / 2
LCM(482,7716) = 3719112 / 2
LCM(482,7716) = 1859556
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FAQs on GCF of Fractions of 8201/482, 4162/7716
1. What is the HCF of 8201,4162?
The HCF of 8201,4162 is 1
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 8201/482, 4162/7716?
Answer: GCF of Numerators as per given numbers 8201/482, 4162/7716 is
GCF of Numerators i.e. for 8201,4162 is 1
LCM of denominators i.e. for 482,7716 is 1859556.
Thus, GCF of Fractions is 1/1859556.Finally, GCF of Fractions for 8201/482, 4162/7716 is 1/1859556.