GCF of 3768/733, 9909/8633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3768/733, 9909/8633 i.e 3/6327989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3768/733, 9909/8633.
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 3768/733,9909/8633?
Given fractions are 3768/733,9909/8633
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 3768/733,9909/8633, numerators are 3768,9909
Denominators are 733,8633
The GCF of 3768,9909 is 3 .
LCM of 733,8633 is 6327989.
The greatest common factor of 3768/733,9909/8633 = [GCF of 3768,9909]/[LCM of 733,8633]= 3/6327989
Therefore, the GCF of 3768/733,9909/8633 is 3/6327989.
To find the highest common factor of 3768,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 3768,9909 is 3.
Lets's calculate GCF of 3768,9909
| 3 | 3768, 9909 |
| 1256, 3303 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3768,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 3768
:1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 3768,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 3768,9909 is 3.
Lets's calculate LCM of 733,8633
Given numbers has no common factors except 1. So, there LCM is their product i.e 6327989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6327989
Therefore, the GCF of Fractions 3768/733,9909/8633 is 3/6327989
Least Common Multiple of 733,8633 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 733,8633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,8633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,8633) x common factors =1 x 1 = 1
LCM(733,8633) = ( 733 × 8633 ) / 1
LCM(733,8633) = 6327989 / 1
LCM(733,8633) = 6327989
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FAQs on GCF of Fractions of 3768/733, 9909/8633
1. What is the HCF of 3768,9909?
The HCF of 3768,9909 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 3768/733, 9909/8633?
Answer: GCF of Numerators as per given numbers 3768/733, 9909/8633 is
GCF of Numerators i.e. for 3768,9909 is 3
LCM of denominators i.e. for 733,8633 is 6327989.
Thus, GCF of Fractions is 3/6327989.Finally, GCF of Fractions for 3768/733, 9909/8633 is 3/6327989.