GCF of 598/55, 276/296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/55, 276/296 i.e 46/16280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/55, 276/296.
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 598/55,276/296?
Given fractions are 598/55,276/296
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 598/55,276/296, numerators are 598,276
Denominators are 55,296
The GCF of 598,276 is 46 .
LCM of 55,296 is 16280.
The greatest common factor of 598/55,276/296 = [GCF of 598,276]/[LCM of 55,296]= 46/16280
Therefore, the GCF of 598/55,276/296 is 46/16280.
To find the highest common factor of 598,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 598,276 is 46.
Lets's calculate GCF of 598,276
| 2 | 598, 276 |
| 23 | 299, 138 |
| 13, 6 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 598,276 By Matching Biggest Common Factor Method
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 598,276 . The biggest common factor number is the GCF number.
So the greatest common factor 598,276 is 46.
Lets's calculate LCM of 55,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 16280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/16280
Therefore, the GCF of Fractions 598/55,276/296 is 46/16280
Least Common Multiple of 55,296 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 55,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,296) x common factors =1 x 1 = 1
LCM(55,296) = ( 55 × 296 ) / 1
LCM(55,296) = 16280 / 1
LCM(55,296) = 16280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 598/55, 276/296
1. What is the HCF of 598,276?
The HCF of 598,276 is 46
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 598/55, 276/296?
Answer: GCF of Numerators as per given numbers 598/55, 276/296 is
GCF of Numerators i.e. for 598,276 is 46
LCM of denominators i.e. for 55,296 is 16280.
Thus, GCF of Fractions is 46/16280.Finally, GCF of Fractions for 598/55, 276/296 is 46/16280.