GCF of 9933/725, 7764/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9933/725, 7764/912 i.e 3/661200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9933/725, 7764/912.
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 9933/725,7764/912?
Given fractions are 9933/725,7764/912
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 9933/725,7764/912, numerators are 9933,7764
Denominators are 725,912
The GCF of 9933,7764 is 3 .
LCM of 725,912 is 661200.
The greatest common factor of 9933/725,7764/912 = [GCF of 9933,7764]/[LCM of 725,912]= 3/661200
Therefore, the GCF of 9933/725,7764/912 is 3/661200.
To find the highest common factor of 9933,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 9933,7764 is 3.
Lets's calculate GCF of 9933,7764
| 3 | 9933, 7764 |
| 3311, 2588 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9933,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 9933
:1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 9933,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 9933,7764 is 3.
Lets's calculate LCM of 725,912
Given numbers has no common factors except 1. So, there LCM is their product i.e 661200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/661200
Therefore, the GCF of Fractions 9933/725,7764/912 is 3/661200
Least Common Multiple of 725,912 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 725,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,912) x common factors =1 x 1 = 1
LCM(725,912) = ( 725 × 912 ) / 1
LCM(725,912) = 661200 / 1
LCM(725,912) = 661200
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FAQs on GCF of Fractions of 9933/725, 7764/912
1. What is the HCF of 9933,7764?
The HCF of 9933,7764 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 9933/725, 7764/912?
Answer: GCF of Numerators as per given numbers 9933/725, 7764/912 is
GCF of Numerators i.e. for 9933,7764 is 3
LCM of denominators i.e. for 725,912 is 661200.
Thus, GCF of Fractions is 3/661200.Finally, GCF of Fractions for 9933/725, 7764/912 is 3/661200.