GCF of 8510/724, 2405/4330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8510/724, 2405/4330 i.e 185/1567460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8510/724, 2405/4330.
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 8510/724,2405/4330?
Given fractions are 8510/724,2405/4330
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 8510/724,2405/4330, numerators are 8510,2405
Denominators are 724,4330
The GCF of 8510,2405 is 185 .
LCM of 724,4330 is 1567460.
The greatest common factor of 8510/724,2405/4330 = [GCF of 8510,2405]/[LCM of 724,4330]= 185/1567460
Therefore, the GCF of 8510/724,2405/4330 is 185/1567460.
To find the highest common factor of 8510,2405, we have to find the factors of both numbers and list the highest common factor.
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405
The HCF of 8510,2405 is 185.
Lets's calculate GCF of 8510,2405
| 5 | 8510, 2405 |
| 37 | 1702, 481 |
| 46, 13 |
∴ So the GCF of the given numbers is 5 x 37 = 185
Greatest Common Factor of 8510,2405 By Matching Biggest Common Factor Method
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Now, list down the factors of 2405
:1,5,13,37,65,185,481,2405
Greatest Common Factor
We found the factors 8510,2405 . The biggest common factor number is the GCF number.
So the greatest common factor 8510,2405 is 185.
Lets's calculate LCM of 724,4330
| 2 | 724, 4330 |
| 362, 2165 |
∴ So the LCM of the given numbers is 2 x 362 x 2165 = 1567460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 185/1567460
Therefore, the GCF of Fractions 8510/724,2405/4330 is 185/1567460
Least Common Multiple of 724,4330 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 724,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4330) x common factors =2 x 1 = 2
LCM(724,4330) = ( 724 × 4330 ) / 2
LCM(724,4330) = 3134920 / 2
LCM(724,4330) = 1567460
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FAQs on GCF of Fractions of 8510/724, 2405/4330
1. What is the HCF of 8510,2405?
The HCF of 8510,2405 is 185
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 8510/724, 2405/4330?
Answer: GCF of Numerators as per given numbers 8510/724, 2405/4330 is
GCF of Numerators i.e. for 8510,2405 is 185
LCM of denominators i.e. for 724,4330 is 1567460.
Thus, GCF of Fractions is 185/1567460.Finally, GCF of Fractions for 8510/724, 2405/4330 is 185/1567460.