GCF of 7443/522, 9450/599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7443/522, 9450/599 i.e 9/312678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7443/522, 9450/599.
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 7443/522,9450/599?
Given fractions are 7443/522,9450/599
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 7443/522,9450/599, numerators are 7443,9450
Denominators are 522,599
The GCF of 7443,9450 is 9 .
LCM of 522,599 is 312678.
The greatest common factor of 7443/522,9450/599 = [GCF of 7443,9450]/[LCM of 522,599]= 9/312678
Therefore, the GCF of 7443/522,9450/599 is 9/312678.
To find the highest common factor of 7443,9450, we have to find the factors of both numbers and list the highest common factor.
The factors of 7443 are 1, 3, 9, 827, 2481, 7443
The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450
The HCF of 7443,9450 is 9.
Lets's calculate GCF of 7443,9450
| 3 | 7443, 9450 |
| 3 | 2481, 3150 |
| 827, 1050 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7443,9450 By Matching Biggest Common Factor Method
Now, list down the factors of 7443
:1,3,9,827,2481,7443
Now, list down the factors of 9450
:1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Greatest Common Factor
We found the factors 7443,9450 . The biggest common factor number is the GCF number.
So the greatest common factor 7443,9450 is 9.
Lets's calculate LCM of 522,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 312678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/312678
Therefore, the GCF of Fractions 7443/522,9450/599 is 9/312678
Least Common Multiple of 522,599 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 522,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,599) x common factors =1 x 1 = 1
LCM(522,599) = ( 522 × 599 ) / 1
LCM(522,599) = 312678 / 1
LCM(522,599) = 312678
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FAQs on GCF of Fractions of 7443/522, 9450/599
1. What is the HCF of 7443,9450?
The HCF of 7443,9450 is 9
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 7443/522, 9450/599?
Answer: GCF of Numerators as per given numbers 7443/522, 9450/599 is
GCF of Numerators i.e. for 7443,9450 is 9
LCM of denominators i.e. for 522,599 is 312678.
Thus, GCF of Fractions is 9/312678.Finally, GCF of Fractions for 7443/522, 9450/599 is 9/312678.