GCF of 9732/668, 1623/3071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9732/668, 1623/3071 i.e 3/2051428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9732/668, 1623/3071.
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 9732/668,1623/3071?
Given fractions are 9732/668,1623/3071
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 9732/668,1623/3071, numerators are 9732,1623
Denominators are 668,3071
The GCF of 9732,1623 is 3 .
LCM of 668,3071 is 2051428.
The greatest common factor of 9732/668,1623/3071 = [GCF of 9732,1623]/[LCM of 668,3071]= 3/2051428
Therefore, the GCF of 9732/668,1623/3071 is 3/2051428.
To find the highest common factor of 9732,1623, we have to find the factors of both numbers and list the highest common factor.
The factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732
The factors of 1623 are 1, 3, 541, 1623
The HCF of 9732,1623 is 3.
Lets's calculate GCF of 9732,1623
| 3 | 9732, 1623 |
| 3244, 541 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9732,1623 By Matching Biggest Common Factor Method
Now, list down the factors of 9732
:1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Now, list down the factors of 1623
:1,3,541,1623
Greatest Common Factor
We found the factors 9732,1623 . The biggest common factor number is the GCF number.
So the greatest common factor 9732,1623 is 3.
Lets's calculate LCM of 668,3071
Given numbers has no common factors except 1. So, there LCM is their product i.e 2051428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2051428
Therefore, the GCF of Fractions 9732/668,1623/3071 is 3/2051428
Least Common Multiple of 668,3071 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 668,3071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,3071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,3071) x common factors =1 x 1 = 1
LCM(668,3071) = ( 668 × 3071 ) / 1
LCM(668,3071) = 2051428 / 1
LCM(668,3071) = 2051428
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FAQs on GCF of Fractions of 9732/668, 1623/3071
1. What is the HCF of 9732,1623?
The HCF of 9732,1623 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 9732/668, 1623/3071?
Answer: GCF of Numerators as per given numbers 9732/668, 1623/3071 is
GCF of Numerators i.e. for 9732,1623 is 3
LCM of denominators i.e. for 668,3071 is 2051428.
Thus, GCF of Fractions is 3/2051428.Finally, GCF of Fractions for 9732/668, 1623/3071 is 3/2051428.