GCF of 9628/461, 1566/6474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9628/461, 1566/6474 i.e 58/2984514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9628/461, 1566/6474.
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 9628/461,1566/6474?
Given fractions are 9628/461,1566/6474
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 9628/461,1566/6474, numerators are 9628,1566
Denominators are 461,6474
The GCF of 9628,1566 is 58 .
LCM of 461,6474 is 2984514.
The greatest common factor of 9628/461,1566/6474 = [GCF of 9628,1566]/[LCM of 461,6474]= 58/2984514
Therefore, the GCF of 9628/461,1566/6474 is 58/2984514.
To find the highest common factor of 9628,1566, we have to find the factors of both numbers and list the highest common factor.
The factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The HCF of 9628,1566 is 58.
Lets's calculate GCF of 9628,1566
| 2 | 9628, 1566 |
| 29 | 4814, 783 |
| 166, 27 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9628,1566 By Matching Biggest Common Factor Method
Now, list down the factors of 9628
:1,2,4,29,58,83,116,166,332,2407,4814,9628
Now, list down the factors of 1566
:1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 9628,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 9628,1566 is 58.
Lets's calculate LCM of 461,6474
Given numbers has no common factors except 1. So, there LCM is their product i.e 2984514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/2984514
Therefore, the GCF of Fractions 9628/461,1566/6474 is 58/2984514
Least Common Multiple of 461,6474 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 461,6474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,6474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,6474) x common factors =1 x 1 = 1
LCM(461,6474) = ( 461 × 6474 ) / 1
LCM(461,6474) = 2984514 / 1
LCM(461,6474) = 2984514
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FAQs on GCF of Fractions of 9628/461, 1566/6474
1. What is the HCF of 9628,1566?
The HCF of 9628,1566 is 58
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 9628/461, 1566/6474?
Answer: GCF of Numerators as per given numbers 9628/461, 1566/6474 is
GCF of Numerators i.e. for 9628,1566 is 58
LCM of denominators i.e. for 461,6474 is 2984514.
Thus, GCF of Fractions is 58/2984514.Finally, GCF of Fractions for 9628/461, 1566/6474 is 58/2984514.