GCF of 8162/648, 9713/6156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8162/648, 9713/6156 i.e 11/12312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8162/648, 9713/6156.
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 8162/648,9713/6156?
Given fractions are 8162/648,9713/6156
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 8162/648,9713/6156, numerators are 8162,9713
Denominators are 648,6156
The GCF of 8162,9713 is 11 .
LCM of 648,6156 is 12312.
The greatest common factor of 8162/648,9713/6156 = [GCF of 8162,9713]/[LCM of 648,6156]= 11/12312
Therefore, the GCF of 8162/648,9713/6156 is 11/12312.
To find the highest common factor of 8162,9713, we have to find the factors of both numbers and list the highest common factor.
The factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162
The factors of 9713 are 1, 11, 883, 9713
The HCF of 8162,9713 is 11.
Lets's calculate GCF of 8162,9713
| 11 | 8162, 9713 |
| 742, 883 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8162,9713 By Matching Biggest Common Factor Method
Now, list down the factors of 8162
:1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162
Now, list down the factors of 9713
:1,11,883,9713
Greatest Common Factor
We found the factors 8162,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 8162,9713 is 11.
Lets's calculate LCM of 648,6156
| 2 | 648, 6156 |
| 2 | 324, 3078 |
| 3 | 162, 1539 |
| 3 | 54, 513 |
| 3 | 18, 171 |
| 3 | 6, 57 |
| 2, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 2 x 19 = 12312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12312
Therefore, the GCF of Fractions 8162/648,9713/6156 is 11/12312
Least Common Multiple of 648,6156 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 648,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6156) = 324
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6156) x common factors =324 x 1 = 324
LCM(648,6156) = ( 648 × 6156 ) / 324
LCM(648,6156) = 3989088 / 324
LCM(648,6156) = 12312
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FAQs on GCF of Fractions of 8162/648, 9713/6156
1. What is the HCF of 8162,9713?
The HCF of 8162,9713 is 11
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 8162/648, 9713/6156?
Answer: GCF of Numerators as per given numbers 8162/648, 9713/6156 is
GCF of Numerators i.e. for 8162,9713 is 11
LCM of denominators i.e. for 648,6156 is 12312.
Thus, GCF of Fractions is 11/12312.Finally, GCF of Fractions for 8162/648, 9713/6156 is 11/12312.