GCF of 9815/213, 6387/859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9815/213, 6387/859 i.e 1/182967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9815/213, 6387/859.
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 9815/213,6387/859?
Given fractions are 9815/213,6387/859
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 9815/213,6387/859, numerators are 9815,6387
Denominators are 213,859
The GCF of 9815,6387 is 1 .
LCM of 213,859 is 182967.
The greatest common factor of 9815/213,6387/859 = [GCF of 9815,6387]/[LCM of 213,859]= 1/182967
Therefore, the GCF of 9815/213,6387/859 is 1/182967.
To find the highest common factor of 9815,6387, we have to find the factors of both numbers and list the highest common factor.
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The factors of 6387 are 1, 3, 2129, 6387
The HCF of 9815,6387 is 1.
Lets's calculate GCF of 9815,6387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9815,6387 By Matching Biggest Common Factor Method
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Now, list down the factors of 6387
:1,3,2129,6387
Greatest Common Factor
We found the factors 9815,6387 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,6387 is 1.
Lets's calculate LCM of 213,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 182967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182967
Therefore, the GCF of Fractions 9815/213,6387/859 is 1/182967
Least Common Multiple of 213,859 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 213,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,859) x common factors =1 x 1 = 1
LCM(213,859) = ( 213 × 859 ) / 1
LCM(213,859) = 182967 / 1
LCM(213,859) = 182967
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FAQs on GCF of Fractions of 9815/213, 6387/859
1. What is the HCF of 9815,6387?
The HCF of 9815,6387 is 1
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 9815/213, 6387/859?
Answer: GCF of Numerators as per given numbers 9815/213, 6387/859 is
GCF of Numerators i.e. for 9815,6387 is 1
LCM of denominators i.e. for 213,859 is 182967.
Thus, GCF of Fractions is 1/182967.Finally, GCF of Fractions for 9815/213, 6387/859 is 1/182967.