GCF of 9477/656, 1620/6534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9477/656, 1620/6534 i.e 81/2143152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/656, 1620/6534.
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 9477/656,1620/6534?
Given fractions are 9477/656,1620/6534
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 9477/656,1620/6534, numerators are 9477,1620
Denominators are 656,6534
The GCF of 9477,1620 is 81 .
LCM of 656,6534 is 2143152.
The greatest common factor of 9477/656,1620/6534 = [GCF of 9477,1620]/[LCM of 656,6534]= 81/2143152
Therefore, the GCF of 9477/656,1620/6534 is 81/2143152.
To find the highest common factor of 9477,1620, we have to find the factors of both numbers and list the highest common factor.
The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The HCF of 9477,1620 is 81.
Lets's calculate GCF of 9477,1620
| 3 | 9477, 1620 |
| 3 | 3159, 540 |
| 3 | 1053, 180 |
| 3 | 351, 60 |
| 117, 20 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 9477,1620 By Matching Biggest Common Factor Method
Now, list down the factors of 9477
:1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Greatest Common Factor
We found the factors 9477,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,1620 is 81.
Lets's calculate LCM of 656,6534
| 2 | 656, 6534 |
| 328, 3267 |
∴ So the LCM of the given numbers is 2 x 328 x 3267 = 2143152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/2143152
Therefore, the GCF of Fractions 9477/656,1620/6534 is 81/2143152
Least Common Multiple of 656,6534 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 656,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,6534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(656,6534) x common factors =2 x 1 = 2
LCM(656,6534) = ( 656 × 6534 ) / 2
LCM(656,6534) = 4286304 / 2
LCM(656,6534) = 2143152
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FAQs on GCF of Fractions of 9477/656, 1620/6534
1. What is the HCF of 9477,1620?
The HCF of 9477,1620 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 9477/656, 1620/6534?
Answer: GCF of Numerators as per given numbers 9477/656, 1620/6534 is
GCF of Numerators i.e. for 9477,1620 is 81
LCM of denominators i.e. for 656,6534 is 2143152.
Thus, GCF of Fractions is 81/2143152.Finally, GCF of Fractions for 9477/656, 1620/6534 is 81/2143152.