GCF of 6584/123, 4500/9153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6584/123, 4500/9153 i.e 4/375273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6584/123, 4500/9153.
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 6584/123,4500/9153?
Given fractions are 6584/123,4500/9153
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 6584/123,4500/9153, numerators are 6584,4500
Denominators are 123,9153
The GCF of 6584,4500 is 4 .
LCM of 123,9153 is 375273.
The greatest common factor of 6584/123,4500/9153 = [GCF of 6584,4500]/[LCM of 123,9153]= 4/375273
Therefore, the GCF of 6584/123,4500/9153 is 4/375273.
To find the highest common factor of 6584,4500, we have to find the factors of both numbers and list the highest common factor.
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
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 HCF of 6584,4500 is 4.
Lets's calculate GCF of 6584,4500
| 2 | 6584, 4500 |
| 2 | 3292, 2250 |
| 1646, 1125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6584,4500 By Matching Biggest Common Factor Method
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
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
Greatest Common Factor
We found the factors 6584,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 6584,4500 is 4.
Lets's calculate LCM of 123,9153
| 3 | 123, 9153 |
| 41, 3051 |
∴ So the LCM of the given numbers is 3 x 41 x 3051 = 375273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/375273
Therefore, the GCF of Fractions 6584/123,4500/9153 is 4/375273
Least Common Multiple of 123,9153 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 123,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,9153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,9153) x common factors =3 x 1 = 3
LCM(123,9153) = ( 123 × 9153 ) / 3
LCM(123,9153) = 1125819 / 3
LCM(123,9153) = 375273
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FAQs on GCF of Fractions of 6584/123, 4500/9153
1. What is the HCF of 6584,4500?
The HCF of 6584,4500 is 4
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 6584/123, 4500/9153?
Answer: GCF of Numerators as per given numbers 6584/123, 4500/9153 is
GCF of Numerators i.e. for 6584,4500 is 4
LCM of denominators i.e. for 123,9153 is 375273.
Thus, GCF of Fractions is 4/375273.Finally, GCF of Fractions for 6584/123, 4500/9153 is 4/375273.