GCF of 2463/815, 6842/9970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2463/815, 6842/9970 i.e 1/1625110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2463/815, 6842/9970.
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 2463/815,6842/9970?
Given fractions are 2463/815,6842/9970
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 2463/815,6842/9970, numerators are 2463,6842
Denominators are 815,9970
The GCF of 2463,6842 is 1 .
LCM of 815,9970 is 1625110.
The greatest common factor of 2463/815,6842/9970 = [GCF of 2463,6842]/[LCM of 815,9970]= 1/1625110
Therefore, the GCF of 2463/815,6842/9970 is 1/1625110.
To find the highest common factor of 2463,6842, we have to find the factors of both numbers and list the highest common factor.
The factors of 2463 are 1, 3, 821, 2463
The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842
The HCF of 2463,6842 is 1.
Lets's calculate GCF of 2463,6842
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2463,6842 By Matching Biggest Common Factor Method
Now, list down the factors of 2463
:1,3,821,2463
Now, list down the factors of 6842
:1,2,11,22,311,622,3421,6842
Greatest Common Factor
We found the factors 2463,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 2463,6842 is 1.
Lets's calculate LCM of 815,9970
| 5 | 815, 9970 |
| 163, 1994 |
∴ So the LCM of the given numbers is 5 x 163 x 1994 = 1625110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1625110
Therefore, the GCF of Fractions 2463/815,6842/9970 is 1/1625110
Least Common Multiple of 815,9970 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 815,9970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,9970) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(815,9970) x common factors =5 x 1 = 5
LCM(815,9970) = ( 815 × 9970 ) / 5
LCM(815,9970) = 8125550 / 5
LCM(815,9970) = 1625110
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FAQs on GCF of Fractions of 2463/815, 6842/9970
1. What is the HCF of 2463,6842?
The HCF of 2463,6842 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 2463/815, 6842/9970?
Answer: GCF of Numerators as per given numbers 2463/815, 6842/9970 is
GCF of Numerators i.e. for 2463,6842 is 1
LCM of denominators i.e. for 815,9970 is 1625110.
Thus, GCF of Fractions is 1/1625110.Finally, GCF of Fractions for 2463/815, 6842/9970 is 1/1625110.