GCF of 934/144, 7200/330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/144, 7200/330 i.e 2/7920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/144, 7200/330.
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 934/144,7200/330?
Given fractions are 934/144,7200/330
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 934/144,7200/330, numerators are 934,7200
Denominators are 144,330
The GCF of 934,7200 is 2 .
LCM of 144,330 is 7920.
The greatest common factor of 934/144,7200/330 = [GCF of 934,7200]/[LCM of 144,330]= 2/7920
Therefore, the GCF of 934/144,7200/330 is 2/7920.
To find the highest common factor of 934,7200, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200
The HCF of 934,7200 is 2.
Lets's calculate GCF of 934,7200
| 2 | 934, 7200 |
| 467, 3600 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,7200 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 7200
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Greatest Common Factor
We found the factors 934,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 934,7200 is 2.
Lets's calculate LCM of 144,330
| 2 | 144, 330 |
| 3 | 72, 165 |
| 24, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 24 x 55 = 7920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7920
Therefore, the GCF of Fractions 934/144,7200/330 is 2/7920
Least Common Multiple of 144,330 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 144,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,330) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(144,330) x common factors =6 x 1 = 6
LCM(144,330) = ( 144 × 330 ) / 6
LCM(144,330) = 47520 / 6
LCM(144,330) = 7920
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FAQs on GCF of Fractions of 934/144, 7200/330
1. What is the HCF of 934,7200?
The HCF of 934,7200 is 2
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 934/144, 7200/330?
Answer: GCF of Numerators as per given numbers 934/144, 7200/330 is
GCF of Numerators i.e. for 934,7200 is 2
LCM of denominators i.e. for 144,330 is 7920.
Thus, GCF of Fractions is 2/7920.Finally, GCF of Fractions for 934/144, 7200/330 is 2/7920.