GCF of 8088/465, 6945/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8088/465, 6945/111 i.e 3/17205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8088/465, 6945/111.
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 8088/465,6945/111?
Given fractions are 8088/465,6945/111
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 8088/465,6945/111, numerators are 8088,6945
Denominators are 465,111
The GCF of 8088,6945 is 3 .
LCM of 465,111 is 17205.
The greatest common factor of 8088/465,6945/111 = [GCF of 8088,6945]/[LCM of 465,111]= 3/17205
Therefore, the GCF of 8088/465,6945/111 is 3/17205.
To find the highest common factor of 8088,6945, we have to find the factors of both numbers and list the highest common factor.
The factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The HCF of 8088,6945 is 3.
Lets's calculate GCF of 8088,6945
| 3 | 8088, 6945 |
| 2696, 2315 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8088,6945 By Matching Biggest Common Factor Method
Now, list down the factors of 8088
:1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 8088,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 8088,6945 is 3.
Lets's calculate LCM of 465,111
| 3 | 465, 111 |
| 155, 37 |
∴ So the LCM of the given numbers is 3 x 155 x 37 = 17205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17205
Therefore, the GCF of Fractions 8088/465,6945/111 is 3/17205
Least Common Multiple of 465,111 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 465,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,111) x common factors =3 x 1 = 3
LCM(465,111) = ( 465 × 111 ) / 3
LCM(465,111) = 51615 / 3
LCM(465,111) = 17205
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FAQs on GCF of Fractions of 8088/465, 6945/111
1. What is the HCF of 8088,6945?
The HCF of 8088,6945 is 3
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 8088/465, 6945/111?
Answer: GCF of Numerators as per given numbers 8088/465, 6945/111 is
GCF of Numerators i.e. for 8088,6945 is 3
LCM of denominators i.e. for 465,111 is 17205.
Thus, GCF of Fractions is 3/17205.Finally, GCF of Fractions for 8088/465, 6945/111 is 3/17205.