GCF of 500/978, 9815/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 500/978, 9815/729 i.e 5/237654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/978, 9815/729.
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 500/978,9815/729?
Given fractions are 500/978,9815/729
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 500/978,9815/729, numerators are 500,9815
Denominators are 978,729
The GCF of 500,9815 is 5 .
LCM of 978,729 is 237654.
The greatest common factor of 500/978,9815/729 = [GCF of 500,9815]/[LCM of 978,729]= 5/237654
Therefore, the GCF of 500/978,9815/729 is 5/237654.
To find the highest common factor of 500,9815, we have to find the factors of both numbers and list the highest common factor.
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The HCF of 500,9815 is 5.
Lets's calculate GCF of 500,9815
| 5 | 500, 9815 |
| 100, 1963 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 500,9815 By Matching Biggest Common Factor Method
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Greatest Common Factor
We found the factors 500,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 500,9815 is 5.
Lets's calculate LCM of 978,729
| 3 | 978, 729 |
| 326, 243 |
∴ So the LCM of the given numbers is 3 x 326 x 243 = 237654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/237654
Therefore, the GCF of Fractions 500/978,9815/729 is 5/237654
Least Common Multiple of 978,729 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 978,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,729) x common factors =3 x 1 = 3
LCM(978,729) = ( 978 × 729 ) / 3
LCM(978,729) = 712962 / 3
LCM(978,729) = 237654
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FAQs on GCF of Fractions of 500/978, 9815/729
1. What is the HCF of 500,9815?
The HCF of 500,9815 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 500/978, 9815/729?
Answer: GCF of Numerators as per given numbers 500/978, 9815/729 is
GCF of Numerators i.e. for 500,9815 is 5
LCM of denominators i.e. for 978,729 is 237654.
Thus, GCF of Fractions is 5/237654.Finally, GCF of Fractions for 500/978, 9815/729 is 5/237654.