GCF of 815/33, 580/8636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/33, 580/8636 i.e 5/284988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/33, 580/8636.
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 815/33,580/8636?
Given fractions are 815/33,580/8636
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 815/33,580/8636, numerators are 815,580
Denominators are 33,8636
The GCF of 815,580 is 5 .
LCM of 33,8636 is 284988.
The greatest common factor of 815/33,580/8636 = [GCF of 815,580]/[LCM of 33,8636]= 5/284988
Therefore, the GCF of 815/33,580/8636 is 5/284988.
To find the highest common factor of 815,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 815,580 is 5.
Lets's calculate GCF of 815,580
| 5 | 815, 580 |
| 163, 116 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 815,580 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 815,580 . The biggest common factor number is the GCF number.
So the greatest common factor 815,580 is 5.
Lets's calculate LCM of 33,8636
Given numbers has no common factors except 1. So, there LCM is their product i.e 284988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/284988
Therefore, the GCF of Fractions 815/33,580/8636 is 5/284988
Least Common Multiple of 33,8636 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 33,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,8636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,8636) x common factors =1 x 1 = 1
LCM(33,8636) = ( 33 × 8636 ) / 1
LCM(33,8636) = 284988 / 1
LCM(33,8636) = 284988
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FAQs on GCF of Fractions of 815/33, 580/8636
1. What is the HCF of 815,580?
The HCF of 815,580 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 815/33, 580/8636?
Answer: GCF of Numerators as per given numbers 815/33, 580/8636 is
GCF of Numerators i.e. for 815,580 is 5
LCM of denominators i.e. for 33,8636 is 284988.
Thus, GCF of Fractions is 5/284988.Finally, GCF of Fractions for 815/33, 580/8636 is 5/284988.