GCF of 7500/510, 2163/4114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7500/510, 2163/4114 i.e 3/61710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7500/510, 2163/4114.
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 7500/510,2163/4114?
Given fractions are 7500/510,2163/4114
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 7500/510,2163/4114, numerators are 7500,2163
Denominators are 510,4114
The GCF of 7500,2163 is 3 .
LCM of 510,4114 is 61710.
The greatest common factor of 7500/510,2163/4114 = [GCF of 7500,2163]/[LCM of 510,4114]= 3/61710
Therefore, the GCF of 7500/510,2163/4114 is 3/61710.
To find the highest common factor of 7500,2163, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163
The HCF of 7500,2163 is 3.
Lets's calculate GCF of 7500,2163
| 3 | 7500, 2163 |
| 2500, 721 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7500,2163 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2163
:1,3,7,21,103,309,721,2163
Greatest Common Factor
We found the factors 7500,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,2163 is 3.
Lets's calculate LCM of 510,4114
| 2 | 510, 4114 |
| 17 | 255, 2057 |
| 15, 121 |
∴ So the LCM of the given numbers is 2 x 17 x 15 x 121 = 61710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61710
Therefore, the GCF of Fractions 7500/510,2163/4114 is 3/61710
Least Common Multiple of 510,4114 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 510,4114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,4114) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(510,4114) x common factors =34 x 1 = 34
LCM(510,4114) = ( 510 × 4114 ) / 34
LCM(510,4114) = 2098140 / 34
LCM(510,4114) = 61710
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FAQs on GCF of Fractions of 7500/510, 2163/4114
1. What is the HCF of 7500,2163?
The HCF of 7500,2163 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 7500/510, 2163/4114?
Answer: GCF of Numerators as per given numbers 7500/510, 2163/4114 is
GCF of Numerators i.e. for 7500,2163 is 3
LCM of denominators i.e. for 510,4114 is 61710.
Thus, GCF of Fractions is 3/61710.Finally, GCF of Fractions for 7500/510, 2163/4114 is 3/61710.