GCF of 8142/587, 8850/8510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8142/587, 8850/8510 i.e 354/4995370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8142/587, 8850/8510.
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 8142/587,8850/8510?
Given fractions are 8142/587,8850/8510
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 8142/587,8850/8510, numerators are 8142,8850
Denominators are 587,8510
The GCF of 8142,8850 is 354 .
LCM of 587,8510 is 4995370.
The greatest common factor of 8142/587,8850/8510 = [GCF of 8142,8850]/[LCM of 587,8510]= 354/4995370
Therefore, the GCF of 8142/587,8850/8510 is 354/4995370.
To find the highest common factor of 8142,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 8142,8850 is 354.
Lets's calculate GCF of 8142,8850
| 2 | 8142, 8850 |
| 3 | 4071, 4425 |
| 59 | 1357, 1475 |
| 23, 25 |
∴ So the GCF of the given numbers is 2 x 3 x 59 = 354
Greatest Common Factor of 8142,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 8142,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 8142,8850 is 354.
Lets's calculate LCM of 587,8510
Given numbers has no common factors except 1. So, there LCM is their product i.e 4995370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 354/4995370
Therefore, the GCF of Fractions 8142/587,8850/8510 is 354/4995370
Least Common Multiple of 587,8510 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 587,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,8510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,8510) x common factors =1 x 1 = 1
LCM(587,8510) = ( 587 × 8510 ) / 1
LCM(587,8510) = 4995370 / 1
LCM(587,8510) = 4995370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8142/587, 8850/8510
1. What is the HCF of 8142,8850?
The HCF of 8142,8850 is 354
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 8142/587, 8850/8510?
Answer: GCF of Numerators as per given numbers 8142/587, 8850/8510 is
GCF of Numerators i.e. for 8142,8850 is 354
LCM of denominators i.e. for 587,8510 is 4995370.
Thus, GCF of Fractions is 354/4995370.Finally, GCF of Fractions for 8142/587, 8850/8510 is 354/4995370.