GCF of 9933/430, 8100/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9933/430, 8100/746 i.e 3/160390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9933/430, 8100/746.
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 9933/430,8100/746?
Given fractions are 9933/430,8100/746
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 9933/430,8100/746, numerators are 9933,8100
Denominators are 430,746
The GCF of 9933,8100 is 3 .
LCM of 430,746 is 160390.
The greatest common factor of 9933/430,8100/746 = [GCF of 9933,8100]/[LCM of 430,746]= 3/160390
Therefore, the GCF of 9933/430,8100/746 is 3/160390.
To find the highest common factor of 9933,8100, 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 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100
The HCF of 9933,8100 is 3.
Lets's calculate GCF of 9933,8100
| 3 | 9933, 8100 |
| 3311, 2700 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9933,8100 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 8100
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Greatest Common Factor
We found the factors 9933,8100 . The biggest common factor number is the GCF number.
So the greatest common factor 9933,8100 is 3.
Lets's calculate LCM of 430,746
| 2 | 430, 746 |
| 215, 373 |
∴ So the LCM of the given numbers is 2 x 215 x 373 = 160390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/160390
Therefore, the GCF of Fractions 9933/430,8100/746 is 3/160390
Least Common Multiple of 430,746 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 430,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,746) x common factors =2 x 1 = 2
LCM(430,746) = ( 430 × 746 ) / 2
LCM(430,746) = 320780 / 2
LCM(430,746) = 160390
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FAQs on GCF of Fractions of 9933/430, 8100/746
1. What is the HCF of 9933,8100?
The HCF of 9933,8100 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 9933/430, 8100/746?
Answer: GCF of Numerators as per given numbers 9933/430, 8100/746 is
GCF of Numerators i.e. for 9933,8100 is 3
LCM of denominators i.e. for 430,746 is 160390.
Thus, GCF of Fractions is 3/160390.Finally, GCF of Fractions for 9933/430, 8100/746 is 3/160390.