GCF of 4500/445, 4510/651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4500/445, 4510/651 i.e 10/289695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4500/445, 4510/651.
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 4500/445,4510/651?
Given fractions are 4500/445,4510/651
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 4500/445,4510/651, numerators are 4500,4510
Denominators are 445,651
The GCF of 4500,4510 is 10 .
LCM of 445,651 is 289695.
The greatest common factor of 4500/445,4510/651 = [GCF of 4500,4510]/[LCM of 445,651]= 10/289695
Therefore, the GCF of 4500/445,4510/651 is 10/289695.
To find the highest common factor of 4500,4510, we have to find the factors of both numbers and list the highest common factor.
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500
The factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510
The HCF of 4500,4510 is 10.
Lets's calculate GCF of 4500,4510
| 2 | 4500, 4510 |
| 5 | 2250, 2255 |
| 450, 451 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4500,4510 By Matching Biggest Common Factor Method
Now, list down the factors of 4500
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Now, list down the factors of 4510
:1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510
Greatest Common Factor
We found the factors 4500,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 4500,4510 is 10.
Lets's calculate LCM of 445,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 289695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/289695
Therefore, the GCF of Fractions 4500/445,4510/651 is 10/289695
Least Common Multiple of 445,651 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 445,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,651) x common factors =1 x 1 = 1
LCM(445,651) = ( 445 × 651 ) / 1
LCM(445,651) = 289695 / 1
LCM(445,651) = 289695
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FAQs on GCF of Fractions of 4500/445, 4510/651
1. What is the HCF of 4500,4510?
The HCF of 4500,4510 is 10
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 4500/445, 4510/651?
Answer: GCF of Numerators as per given numbers 4500/445, 4510/651 is
GCF of Numerators i.e. for 4500,4510 is 10
LCM of denominators i.e. for 445,651 is 289695.
Thus, GCF of Fractions is 10/289695.Finally, GCF of Fractions for 4500/445, 4510/651 is 10/289695.