GCF of 245/33, 419/7287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/33, 419/7287 i.e 1/80157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/33, 419/7287.
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 245/33,419/7287?
Given fractions are 245/33,419/7287
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 245/33,419/7287, numerators are 245,419
Denominators are 33,7287
The GCF of 245,419 is 1 .
LCM of 33,7287 is 80157.
The greatest common factor of 245/33,419/7287 = [GCF of 245,419]/[LCM of 33,7287]= 1/80157
Therefore, the GCF of 245/33,419/7287 is 1/80157.
To find the highest common factor of 245,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 419 are 1, 419
The HCF of 245,419 is 1.
Lets's calculate GCF of 245,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 245,419 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 245,419 . The biggest common factor number is the GCF number.
So the greatest common factor 245,419 is 1.
Lets's calculate LCM of 33,7287
| 3 | 33, 7287 |
| 11, 2429 |
∴ So the LCM of the given numbers is 3 x 11 x 2429 = 80157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80157
Therefore, the GCF of Fractions 245/33,419/7287 is 1/80157
Least Common Multiple of 33,7287 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 33,7287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,7287) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,7287) x common factors =3 x 1 = 3
LCM(33,7287) = ( 33 × 7287 ) / 3
LCM(33,7287) = 240471 / 3
LCM(33,7287) = 80157
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FAQs on GCF of Fractions of 245/33, 419/7287
1. What is the HCF of 245,419?
The HCF of 245,419 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 245/33, 419/7287?
Answer: GCF of Numerators as per given numbers 245/33, 419/7287 is
GCF of Numerators i.e. for 245,419 is 1
LCM of denominators i.e. for 33,7287 is 80157.
Thus, GCF of Fractions is 1/80157.Finally, GCF of Fractions for 245/33, 419/7287 is 1/80157.