GCF of 7533/470, 6966/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7533/470, 6966/716 i.e 81/168260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7533/470, 6966/716.
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 7533/470,6966/716?
Given fractions are 7533/470,6966/716
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 7533/470,6966/716, numerators are 7533,6966
Denominators are 470,716
The GCF of 7533,6966 is 81 .
LCM of 470,716 is 168260.
The greatest common factor of 7533/470,6966/716 = [GCF of 7533,6966]/[LCM of 470,716]= 81/168260
Therefore, the GCF of 7533/470,6966/716 is 81/168260.
To find the highest common factor of 7533,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 7533,6966 is 81.
Lets's calculate GCF of 7533,6966
| 3 | 7533, 6966 |
| 3 | 2511, 2322 |
| 3 | 837, 774 |
| 3 | 279, 258 |
| 93, 86 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 7533,6966 By Matching Biggest Common Factor Method
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 7533,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 7533,6966 is 81.
Lets's calculate LCM of 470,716
| 2 | 470, 716 |
| 235, 358 |
∴ So the LCM of the given numbers is 2 x 235 x 358 = 168260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/168260
Therefore, the GCF of Fractions 7533/470,6966/716 is 81/168260
Least Common Multiple of 470,716 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 470,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,716) x common factors =2 x 1 = 2
LCM(470,716) = ( 470 × 716 ) / 2
LCM(470,716) = 336520 / 2
LCM(470,716) = 168260
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FAQs on GCF of Fractions of 7533/470, 6966/716
1. What is the HCF of 7533,6966?
The HCF of 7533,6966 is 81
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 7533/470, 6966/716?
Answer: GCF of Numerators as per given numbers 7533/470, 6966/716 is
GCF of Numerators i.e. for 7533,6966 is 81
LCM of denominators i.e. for 470,716 is 168260.
Thus, GCF of Fractions is 81/168260.Finally, GCF of Fractions for 7533/470, 6966/716 is 81/168260.