GCF of 8535/490, 8125/6344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8535/490, 8125/6344 i.e 5/1554280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8535/490, 8125/6344.
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 8535/490,8125/6344?
Given fractions are 8535/490,8125/6344
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 8535/490,8125/6344, numerators are 8535,8125
Denominators are 490,6344
The GCF of 8535,8125 is 5 .
LCM of 490,6344 is 1554280.
The greatest common factor of 8535/490,8125/6344 = [GCF of 8535,8125]/[LCM of 490,6344]= 5/1554280
Therefore, the GCF of 8535/490,8125/6344 is 5/1554280.
To find the highest common factor of 8535,8125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535
The factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
The HCF of 8535,8125 is 5.
Lets's calculate GCF of 8535,8125
| 5 | 8535, 8125 |
| 1707, 1625 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8535,8125 By Matching Biggest Common Factor Method
Now, list down the factors of 8535
:1,3,5,15,569,1707,2845,8535
Now, list down the factors of 8125
:1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 8535,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 8535,8125 is 5.
Lets's calculate LCM of 490,6344
| 2 | 490, 6344 |
| 245, 3172 |
∴ So the LCM of the given numbers is 2 x 245 x 3172 = 1554280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1554280
Therefore, the GCF of Fractions 8535/490,8125/6344 is 5/1554280
Least Common Multiple of 490,6344 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 490,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,6344) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,6344) x common factors =2 x 1 = 2
LCM(490,6344) = ( 490 × 6344 ) / 2
LCM(490,6344) = 3108560 / 2
LCM(490,6344) = 1554280
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FAQs on GCF of Fractions of 8535/490, 8125/6344
1. What is the HCF of 8535,8125?
The HCF of 8535,8125 is 5
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 8535/490, 8125/6344?
Answer: GCF of Numerators as per given numbers 8535/490, 8125/6344 is
GCF of Numerators i.e. for 8535,8125 is 5
LCM of denominators i.e. for 490,6344 is 1554280.
Thus, GCF of Fractions is 5/1554280.Finally, GCF of Fractions for 8535/490, 8125/6344 is 5/1554280.