GCF of 285/737, 735/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/737, 735/558 i.e 15/411246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/737, 735/558.
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 285/737,735/558?
Given fractions are 285/737,735/558
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 285/737,735/558, numerators are 285,735
Denominators are 737,558
The GCF of 285,735 is 15 .
LCM of 737,558 is 411246.
The greatest common factor of 285/737,735/558 = [GCF of 285,735]/[LCM of 737,558]= 15/411246
Therefore, the GCF of 285/737,735/558 is 15/411246.
To find the highest common factor of 285,735, 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 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 285,735 is 15.
Lets's calculate GCF of 285,735
| 3 | 285, 735 |
| 5 | 95, 245 |
| 19, 49 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 285,735 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 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 285,735 . The biggest common factor number is the GCF number.
So the greatest common factor 285,735 is 15.
Lets's calculate LCM of 737,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 411246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/411246
Therefore, the GCF of Fractions 285/737,735/558 is 15/411246
Least Common Multiple of 737,558 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 737,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,558) x common factors =1 x 1 = 1
LCM(737,558) = ( 737 × 558 ) / 1
LCM(737,558) = 411246 / 1
LCM(737,558) = 411246
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 285/737, 735/558
1. What is the HCF of 285,735?
The HCF of 285,735 is 15
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 285/737, 735/558?
Answer: GCF of Numerators as per given numbers 285/737, 735/558 is
GCF of Numerators i.e. for 285,735 is 15
LCM of denominators i.e. for 737,558 is 411246.
Thus, GCF of Fractions is 15/411246.Finally, GCF of Fractions for 285/737, 735/558 is 15/411246.