GCF of 7200/446, 3742/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7200/446, 3742/662 i.e 2/147626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7200/446, 3742/662.
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 7200/446,3742/662?
Given fractions are 7200/446,3742/662
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 7200/446,3742/662, numerators are 7200,3742
Denominators are 446,662
The GCF of 7200,3742 is 2 .
LCM of 446,662 is 147626.
The greatest common factor of 7200/446,3742/662 = [GCF of 7200,3742]/[LCM of 446,662]= 2/147626
Therefore, the GCF of 7200/446,3742/662 is 2/147626.
To find the highest common factor of 7200,3742, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3742 are 1, 2, 1871, 3742
The HCF of 7200,3742 is 2.
Lets's calculate GCF of 7200,3742
| 2 | 7200, 3742 |
| 3600, 1871 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7200,3742 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3742
:1,2,1871,3742
Greatest Common Factor
We found the factors 7200,3742 . The biggest common factor number is the GCF number.
So the greatest common factor 7200,3742 is 2.
Lets's calculate LCM of 446,662
| 2 | 446, 662 |
| 223, 331 |
∴ So the LCM of the given numbers is 2 x 223 x 331 = 147626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147626
Therefore, the GCF of Fractions 7200/446,3742/662 is 2/147626
Least Common Multiple of 446,662 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 446,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,662) x common factors =2 x 1 = 2
LCM(446,662) = ( 446 × 662 ) / 2
LCM(446,662) = 295252 / 2
LCM(446,662) = 147626
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FAQs on GCF of Fractions of 7200/446, 3742/662
1. What is the HCF of 7200,3742?
The HCF of 7200,3742 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 7200/446, 3742/662?
Answer: GCF of Numerators as per given numbers 7200/446, 3742/662 is
GCF of Numerators i.e. for 7200,3742 is 2
LCM of denominators i.e. for 446,662 is 147626.
Thus, GCF of Fractions is 2/147626.Finally, GCF of Fractions for 7200/446, 3742/662 is 2/147626.