GCF of 285/28, 373/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/28, 373/497 i.e 1/1988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/28, 373/497.
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 285/28,373/497?
Given fractions are 285/28,373/497
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 285/28,373/497, numerators are 285,373
Denominators are 28,497
The GCF of 285,373 is 1 .
LCM of 28,497 is 1988.
The greatest common factor of 285/28,373/497 = [GCF of 285,373]/[LCM of 28,497]= 1/1988
Therefore, the GCF of 285/28,373/497 is 1/1988.
To find the highest common factor of 285,373, we have to find the factors of both numbers and list the highest common factor.
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 373 are 1, 373
The HCF of 285,373 is 1.
Lets's calculate GCF of 285,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 285,373 By Matching Biggest Common Factor Method
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 373
:1,373
Greatest Common Factor
We found the factors 285,373 . The biggest common factor number is the GCF number.
So the greatest common factor 285,373 is 1.
Lets's calculate LCM of 28,497
| 7 | 28, 497 |
| 4, 71 |
∴ So the LCM of the given numbers is 7 x 4 x 71 = 1988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1988
Therefore, the GCF of Fractions 285/28,373/497 is 1/1988
Least Common Multiple of 28,497 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 28,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,497) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(28,497) x common factors =7 x 1 = 7
LCM(28,497) = ( 28 × 497 ) / 7
LCM(28,497) = 13916 / 7
LCM(28,497) = 1988
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FAQs on GCF of Fractions of 285/28, 373/497
1. What is the HCF of 285,373?
The HCF of 285,373 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 285/28, 373/497?
Answer: GCF of Numerators as per given numbers 285/28, 373/497 is
GCF of Numerators i.e. for 285,373 is 1
LCM of denominators i.e. for 28,497 is 1988.
Thus, GCF of Fractions is 1/1988.Finally, GCF of Fractions for 285/28, 373/497 is 1/1988.