GCF of 3033/463, 7500/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3033/463, 7500/783 i.e 3/362529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3033/463, 7500/783.
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 3033/463,7500/783?
Given fractions are 3033/463,7500/783
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 3033/463,7500/783, numerators are 3033,7500
Denominators are 463,783
The GCF of 3033,7500 is 3 .
LCM of 463,783 is 362529.
The greatest common factor of 3033/463,7500/783 = [GCF of 3033,7500]/[LCM of 463,783]= 3/362529
Therefore, the GCF of 3033/463,7500/783 is 3/362529.
To find the highest common factor of 3033,7500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3033 are 1, 3, 9, 337, 1011, 3033
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500
The HCF of 3033,7500 is 3.
Lets's calculate GCF of 3033,7500
| 3 | 3033, 7500 |
| 1011, 2500 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3033,7500 By Matching Biggest Common Factor Method
Now, list down the factors of 3033
:1,3,9,337,1011,3033
Now, list down the factors of 7500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Greatest Common Factor
We found the factors 3033,7500 . The biggest common factor number is the GCF number.
So the greatest common factor 3033,7500 is 3.
Lets's calculate LCM of 463,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 362529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/362529
Therefore, the GCF of Fractions 3033/463,7500/783 is 3/362529
Least Common Multiple of 463,783 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 463,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,783) x common factors =1 x 1 = 1
LCM(463,783) = ( 463 × 783 ) / 1
LCM(463,783) = 362529 / 1
LCM(463,783) = 362529
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FAQs on GCF of Fractions of 3033/463, 7500/783
1. What is the HCF of 3033,7500?
The HCF of 3033,7500 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 3033/463, 7500/783?
Answer: GCF of Numerators as per given numbers 3033/463, 7500/783 is
GCF of Numerators i.e. for 3033,7500 is 3
LCM of denominators i.e. for 463,783 is 362529.
Thus, GCF of Fractions is 3/362529.Finally, GCF of Fractions for 3033/463, 7500/783 is 3/362529.