GCF of 496/16, 958/7201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 496/16, 958/7201 i.e 2/115216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/16, 958/7201.
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 496/16,958/7201?
Given fractions are 496/16,958/7201
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 496/16,958/7201, numerators are 496,958
Denominators are 16,7201
The GCF of 496,958 is 2 .
LCM of 16,7201 is 115216.
The greatest common factor of 496/16,958/7201 = [GCF of 496,958]/[LCM of 16,7201]= 2/115216
Therefore, the GCF of 496/16,958/7201 is 2/115216.
To find the highest common factor of 496,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The factors of 958 are 1, 2, 479, 958
The HCF of 496,958 is 2.
Lets's calculate GCF of 496,958
| 2 | 496, 958 |
| 248, 479 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 496,958 By Matching Biggest Common Factor Method
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 496,958 . The biggest common factor number is the GCF number.
So the greatest common factor 496,958 is 2.
Lets's calculate LCM of 16,7201
Given numbers has no common factors except 1. So, there LCM is their product i.e 115216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115216
Therefore, the GCF of Fractions 496/16,958/7201 is 2/115216
Least Common Multiple of 16,7201 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 16,7201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,7201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,7201) x common factors =1 x 1 = 1
LCM(16,7201) = ( 16 × 7201 ) / 1
LCM(16,7201) = 115216 / 1
LCM(16,7201) = 115216
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 496/16, 958/7201
1. What is the HCF of 496,958?
The HCF of 496,958 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 496/16, 958/7201?
Answer: GCF of Numerators as per given numbers 496/16, 958/7201 is
GCF of Numerators i.e. for 496,958 is 2
LCM of denominators i.e. for 16,7201 is 115216.
Thus, GCF of Fractions is 2/115216.Finally, GCF of Fractions for 496/16, 958/7201 is 2/115216.