GCF of 4500/174, 3000/7913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4500/174, 3000/7913 i.e 1500/1376862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4500/174, 3000/7913.
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 4500/174,3000/7913?
Given fractions are 4500/174,3000/7913
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 4500/174,3000/7913, numerators are 4500,3000
Denominators are 174,7913
The GCF of 4500,3000 is 1500 .
LCM of 174,7913 is 1376862.
The greatest common factor of 4500/174,3000/7913 = [GCF of 4500,3000]/[LCM of 174,7913]= 1500/1376862
Therefore, the GCF of 4500/174,3000/7913 is 1500/1376862.
To find the highest common factor of 4500,3000, 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 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The HCF of 4500,3000 is 1500.
Lets's calculate GCF of 4500,3000
| 2 | 4500, 3000 |
| 2 | 2250, 1500 |
| 3 | 1125, 750 |
| 5 | 375, 250 |
| 5 | 75, 50 |
| 5 | 15, 10 |
| 3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 = 1500
Greatest Common Factor of 4500,3000 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 3000
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 4500,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 4500,3000 is 1500.
Lets's calculate LCM of 174,7913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1376862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1500/1376862
Therefore, the GCF of Fractions 4500/174,3000/7913 is 1500/1376862
Least Common Multiple of 174,7913 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 174,7913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,7913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,7913) x common factors =1 x 1 = 1
LCM(174,7913) = ( 174 × 7913 ) / 1
LCM(174,7913) = 1376862 / 1
LCM(174,7913) = 1376862
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FAQs on GCF of Fractions of 4500/174, 3000/7913
1. What is the HCF of 4500,3000?
The HCF of 4500,3000 is 1500
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 4500/174, 3000/7913?
Answer: GCF of Numerators as per given numbers 4500/174, 3000/7913 is
GCF of Numerators i.e. for 4500,3000 is 1500
LCM of denominators i.e. for 174,7913 is 1376862.
Thus, GCF of Fractions is 1500/1376862.Finally, GCF of Fractions for 4500/174, 3000/7913 is 1500/1376862.