GCF of 8106/409, 9002/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8106/409, 9002/631 i.e 14/258079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8106/409, 9002/631.
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 8106/409,9002/631?
Given fractions are 8106/409,9002/631
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 8106/409,9002/631, numerators are 8106,9002
Denominators are 409,631
The GCF of 8106,9002 is 14 .
LCM of 409,631 is 258079.
The greatest common factor of 8106/409,9002/631 = [GCF of 8106,9002]/[LCM of 409,631]= 14/258079
Therefore, the GCF of 8106/409,9002/631 is 14/258079.
To find the highest common factor of 8106,9002, we have to find the factors of both numbers and list the highest common factor.
The factors of 8106 are 1, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002
The HCF of 8106,9002 is 14.
Lets's calculate GCF of 8106,9002
| 2 | 8106, 9002 |
| 7 | 4053, 4501 |
| 579, 643 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8106,9002 By Matching Biggest Common Factor Method
Now, list down the factors of 8106
:1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106
Now, list down the factors of 9002
:1,2,7,14,643,1286,4501,9002
Greatest Common Factor
We found the factors 8106,9002 . The biggest common factor number is the GCF number.
So the greatest common factor 8106,9002 is 14.
Lets's calculate LCM of 409,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 258079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/258079
Therefore, the GCF of Fractions 8106/409,9002/631 is 14/258079
Least Common Multiple of 409,631 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 409,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,631) x common factors =1 x 1 = 1
LCM(409,631) = ( 409 × 631 ) / 1
LCM(409,631) = 258079 / 1
LCM(409,631) = 258079
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FAQs on GCF of Fractions of 8106/409, 9002/631
1. What is the HCF of 8106,9002?
The HCF of 8106,9002 is 14
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 8106/409, 9002/631?
Answer: GCF of Numerators as per given numbers 8106/409, 9002/631 is
GCF of Numerators i.e. for 8106,9002 is 14
LCM of denominators i.e. for 409,631 is 258079.
Thus, GCF of Fractions is 14/258079.Finally, GCF of Fractions for 8106/409, 9002/631 is 14/258079.