GCF of 7697/382, 8343/8084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7697/382, 8343/8084 i.e 1/1544044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7697/382, 8343/8084.
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 7697/382,8343/8084?
Given fractions are 7697/382,8343/8084
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 7697/382,8343/8084, numerators are 7697,8343
Denominators are 382,8084
The GCF of 7697,8343 is 1 .
LCM of 382,8084 is 1544044.
The greatest common factor of 7697/382,8343/8084 = [GCF of 7697,8343]/[LCM of 382,8084]= 1/1544044
Therefore, the GCF of 7697/382,8343/8084 is 1/1544044.
To find the highest common factor of 7697,8343, we have to find the factors of both numbers and list the highest common factor.
The factors of 7697 are 1, 43, 179, 7697
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The HCF of 7697,8343 is 1.
Lets's calculate GCF of 7697,8343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7697,8343 By Matching Biggest Common Factor Method
Now, list down the factors of 7697
:1,43,179,7697
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Greatest Common Factor
We found the factors 7697,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 7697,8343 is 1.
Lets's calculate LCM of 382,8084
| 2 | 382, 8084 |
| 191, 4042 |
∴ So the LCM of the given numbers is 2 x 191 x 4042 = 1544044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1544044
Therefore, the GCF of Fractions 7697/382,8343/8084 is 1/1544044
Least Common Multiple of 382,8084 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 382,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,8084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,8084) x common factors =2 x 1 = 2
LCM(382,8084) = ( 382 × 8084 ) / 2
LCM(382,8084) = 3088088 / 2
LCM(382,8084) = 1544044
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FAQs on GCF of Fractions of 7697/382, 8343/8084
1. What is the HCF of 7697,8343?
The HCF of 7697,8343 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 7697/382, 8343/8084?
Answer: GCF of Numerators as per given numbers 7697/382, 8343/8084 is
GCF of Numerators i.e. for 7697,8343 is 1
LCM of denominators i.e. for 382,8084 is 1544044.
Thus, GCF of Fractions is 1/1544044.Finally, GCF of Fractions for 7697/382, 8343/8084 is 1/1544044.