GCF of 8164/507, 8299/1569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8164/507, 8299/1569 i.e 1/265161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8164/507, 8299/1569.
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 8164/507,8299/1569?
Given fractions are 8164/507,8299/1569
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 8164/507,8299/1569, numerators are 8164,8299
Denominators are 507,1569
The GCF of 8164,8299 is 1 .
LCM of 507,1569 is 265161.
The greatest common factor of 8164/507,8299/1569 = [GCF of 8164,8299]/[LCM of 507,1569]= 1/265161
Therefore, the GCF of 8164/507,8299/1569 is 1/265161.
To find the highest common factor of 8164,8299, we have to find the factors of both numbers and list the highest common factor.
The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164
The factors of 8299 are 1, 43, 193, 8299
The HCF of 8164,8299 is 1.
Lets's calculate GCF of 8164,8299
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8164,8299 By Matching Biggest Common Factor Method
Now, list down the factors of 8164
:1,2,4,13,26,52,157,314,628,2041,4082,8164
Now, list down the factors of 8299
:1,43,193,8299
Greatest Common Factor
We found the factors 8164,8299 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,8299 is 1.
Lets's calculate LCM of 507,1569
| 3 | 507, 1569 |
| 169, 523 |
∴ So the LCM of the given numbers is 3 x 169 x 523 = 265161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265161
Therefore, the GCF of Fractions 8164/507,8299/1569 is 1/265161
Least Common Multiple of 507,1569 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 507,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,1569) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,1569) x common factors =3 x 1 = 3
LCM(507,1569) = ( 507 × 1569 ) / 3
LCM(507,1569) = 795483 / 3
LCM(507,1569) = 265161
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FAQs on GCF of Fractions of 8164/507, 8299/1569
1. What is the HCF of 8164,8299?
The HCF of 8164,8299 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 8164/507, 8299/1569?
Answer: GCF of Numerators as per given numbers 8164/507, 8299/1569 is
GCF of Numerators i.e. for 8164,8299 is 1
LCM of denominators i.e. for 507,1569 is 265161.
Thus, GCF of Fractions is 1/265161.Finally, GCF of Fractions for 8164/507, 8299/1569 is 1/265161.