GCF of 8197/362, 6460/6814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8197/362, 6460/6814 i.e 1/1233334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8197/362, 6460/6814.
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 8197/362,6460/6814?
Given fractions are 8197/362,6460/6814
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 8197/362,6460/6814, numerators are 8197,6460
Denominators are 362,6814
The GCF of 8197,6460 is 1 .
LCM of 362,6814 is 1233334.
The greatest common factor of 8197/362,6460/6814 = [GCF of 8197,6460]/[LCM of 362,6814]= 1/1233334
Therefore, the GCF of 8197/362,6460/6814 is 1/1233334.
To find the highest common factor of 8197,6460, we have to find the factors of both numbers and list the highest common factor.
The factors of 8197 are 1, 7, 1171, 8197
The factors of 6460 are 1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460
The HCF of 8197,6460 is 1.
Lets's calculate GCF of 8197,6460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8197,6460 By Matching Biggest Common Factor Method
Now, list down the factors of 8197
:1,7,1171,8197
Now, list down the factors of 6460
:1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460
Greatest Common Factor
We found the factors 8197,6460 . The biggest common factor number is the GCF number.
So the greatest common factor 8197,6460 is 1.
Lets's calculate LCM of 362,6814
| 2 | 362, 6814 |
| 181, 3407 |
∴ So the LCM of the given numbers is 2 x 181 x 3407 = 1233334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1233334
Therefore, the GCF of Fractions 8197/362,6460/6814 is 1/1233334
Least Common Multiple of 362,6814 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 362,6814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,6814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,6814) x common factors =2 x 1 = 2
LCM(362,6814) = ( 362 × 6814 ) / 2
LCM(362,6814) = 2466668 / 2
LCM(362,6814) = 1233334
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FAQs on GCF of Fractions of 8197/362, 6460/6814
1. What is the HCF of 8197,6460?
The HCF of 8197,6460 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 8197/362, 6460/6814?
Answer: GCF of Numerators as per given numbers 8197/362, 6460/6814 is
GCF of Numerators i.e. for 8197,6460 is 1
LCM of denominators i.e. for 362,6814 is 1233334.
Thus, GCF of Fractions is 1/1233334.Finally, GCF of Fractions for 8197/362, 6460/6814 is 1/1233334.