GCF of 6642/703, 6765/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6642/703, 6765/744 i.e 123/523032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6642/703, 6765/744.
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 6642/703,6765/744?
Given fractions are 6642/703,6765/744
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 6642/703,6765/744, numerators are 6642,6765
Denominators are 703,744
The GCF of 6642,6765 is 123 .
LCM of 703,744 is 523032.
The greatest common factor of 6642/703,6765/744 = [GCF of 6642,6765]/[LCM of 703,744]= 123/523032
Therefore, the GCF of 6642/703,6765/744 is 123/523032.
To find the highest common factor of 6642,6765, we have to find the factors of both numbers and list the highest common factor.
The factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642
The factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765
The HCF of 6642,6765 is 123.
Lets's calculate GCF of 6642,6765
| 3 | 6642, 6765 |
| 41 | 2214, 2255 |
| 54, 55 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Greatest Common Factor of 6642,6765 By Matching Biggest Common Factor Method
Now, list down the factors of 6642
:1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642
Now, list down the factors of 6765
:1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Greatest Common Factor
We found the factors 6642,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 6642,6765 is 123.
Lets's calculate LCM of 703,744
Given numbers has no common factors except 1. So, there LCM is their product i.e 523032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/523032
Therefore, the GCF of Fractions 6642/703,6765/744 is 123/523032
Least Common Multiple of 703,744 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 703,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,744) x common factors =1 x 1 = 1
LCM(703,744) = ( 703 × 744 ) / 1
LCM(703,744) = 523032 / 1
LCM(703,744) = 523032
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FAQs on GCF of Fractions of 6642/703, 6765/744
1. What is the HCF of 6642,6765?
The HCF of 6642,6765 is 123
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 6642/703, 6765/744?
Answer: GCF of Numerators as per given numbers 6642/703, 6765/744 is
GCF of Numerators i.e. for 6642,6765 is 123
LCM of denominators i.e. for 703,744 is 523032.
Thus, GCF of Fractions is 123/523032.Finally, GCF of Fractions for 6642/703, 6765/744 is 123/523032.