GCF of 9640/639, 3923/3993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9640/639, 3923/3993 i.e 1/850509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9640/639, 3923/3993.
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 9640/639,3923/3993?
Given fractions are 9640/639,3923/3993
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 9640/639,3923/3993, numerators are 9640,3923
Denominators are 639,3993
The GCF of 9640,3923 is 1 .
LCM of 639,3993 is 850509.
The greatest common factor of 9640/639,3923/3993 = [GCF of 9640,3923]/[LCM of 639,3993]= 1/850509
Therefore, the GCF of 9640/639,3923/3993 is 1/850509.
To find the highest common factor of 9640,3923, we have to find the factors of both numbers and list the highest common factor.
The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640
The factors of 3923 are 1, 3923
The HCF of 9640,3923 is 1.
Lets's calculate GCF of 9640,3923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9640,3923 By Matching Biggest Common Factor Method
Now, list down the factors of 9640
:1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Now, list down the factors of 3923
:1,3923
Greatest Common Factor
We found the factors 9640,3923 . The biggest common factor number is the GCF number.
So the greatest common factor 9640,3923 is 1.
Lets's calculate LCM of 639,3993
| 3 | 639, 3993 |
| 213, 1331 |
∴ So the LCM of the given numbers is 3 x 213 x 1331 = 850509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850509
Therefore, the GCF of Fractions 9640/639,3923/3993 is 1/850509
Least Common Multiple of 639,3993 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 639,3993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,3993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,3993) x common factors =3 x 1 = 3
LCM(639,3993) = ( 639 × 3993 ) / 3
LCM(639,3993) = 2551527 / 3
LCM(639,3993) = 850509
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FAQs on GCF of Fractions of 9640/639, 3923/3993
1. What is the HCF of 9640,3923?
The HCF of 9640,3923 is 1
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 9640/639, 3923/3993?
Answer: GCF of Numerators as per given numbers 9640/639, 3923/3993 is
GCF of Numerators i.e. for 9640,3923 is 1
LCM of denominators i.e. for 639,3993 is 850509.
Thus, GCF of Fractions is 1/850509.Finally, GCF of Fractions for 9640/639, 3923/3993 is 1/850509.