GCF of 4002/724, 7580/518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4002/724, 7580/518 i.e 2/187516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4002/724, 7580/518.
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 4002/724,7580/518?
Given fractions are 4002/724,7580/518
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 4002/724,7580/518, numerators are 4002,7580
Denominators are 724,518
The GCF of 4002,7580 is 2 .
LCM of 724,518 is 187516.
The greatest common factor of 4002/724,7580/518 = [GCF of 4002,7580]/[LCM of 724,518]= 2/187516
Therefore, the GCF of 4002/724,7580/518 is 2/187516.
To find the highest common factor of 4002,7580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The HCF of 4002,7580 is 2.
Lets's calculate GCF of 4002,7580
| 2 | 4002, 7580 |
| 2001, 3790 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4002,7580 By Matching Biggest Common Factor Method
Now, list down the factors of 4002
:1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Greatest Common Factor
We found the factors 4002,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,7580 is 2.
Lets's calculate LCM of 724,518
| 2 | 724, 518 |
| 362, 259 |
∴ So the LCM of the given numbers is 2 x 362 x 259 = 187516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187516
Therefore, the GCF of Fractions 4002/724,7580/518 is 2/187516
Least Common Multiple of 724,518 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 724,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,518) x common factors =2 x 1 = 2
LCM(724,518) = ( 724 × 518 ) / 2
LCM(724,518) = 375032 / 2
LCM(724,518) = 187516
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4002/724, 7580/518
1. What is the HCF of 4002,7580?
The HCF of 4002,7580 is 2
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 4002/724, 7580/518?
Answer: GCF of Numerators as per given numbers 4002/724, 7580/518 is
GCF of Numerators i.e. for 4002,7580 is 2
LCM of denominators i.e. for 724,518 is 187516.
Thus, GCF of Fractions is 2/187516.Finally, GCF of Fractions for 4002/724, 7580/518 is 2/187516.