GCF of 244/715, 7318/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 244/715, 7318/819 i.e 2/45045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/715, 7318/819.
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 244/715,7318/819?
Given fractions are 244/715,7318/819
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 244/715,7318/819, numerators are 244,7318
Denominators are 715,819
The GCF of 244,7318 is 2 .
LCM of 715,819 is 45045.
The greatest common factor of 244/715,7318/819 = [GCF of 244,7318]/[LCM of 715,819]= 2/45045
Therefore, the GCF of 244/715,7318/819 is 2/45045.
To find the highest common factor of 244,7318, we have to find the factors of both numbers and list the highest common factor.
The factors of 244 are 1, 2, 4, 61, 122, 244
The factors of 7318 are 1, 2, 3659, 7318
The HCF of 244,7318 is 2.
Lets's calculate GCF of 244,7318
| 2 | 244, 7318 |
| 122, 3659 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 244,7318 By Matching Biggest Common Factor Method
Now, list down the factors of 244
:1,2,4,61,122,244
Now, list down the factors of 7318
:1,2,3659,7318
Greatest Common Factor
We found the factors 244,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 244,7318 is 2.
Lets's calculate LCM of 715,819
| 13 | 715, 819 |
| 55, 63 |
∴ So the LCM of the given numbers is 13 x 55 x 63 = 45045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45045
Therefore, the GCF of Fractions 244/715,7318/819 is 2/45045
Least Common Multiple of 715,819 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 715,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,819) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(715,819) x common factors =13 x 1 = 13
LCM(715,819) = ( 715 × 819 ) / 13
LCM(715,819) = 585585 / 13
LCM(715,819) = 45045
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FAQs on GCF of Fractions of 244/715, 7318/819
1. What is the HCF of 244,7318?
The HCF of 244,7318 is 2
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 244/715, 7318/819?
Answer: GCF of Numerators as per given numbers 244/715, 7318/819 is
GCF of Numerators i.e. for 244,7318 is 2
LCM of denominators i.e. for 715,819 is 45045.
Thus, GCF of Fractions is 2/45045.Finally, GCF of Fractions for 244/715, 7318/819 is 2/45045.