Use our free GCF of Fractions Calculator tool to compute the GCF of 273/276, 598/421 i.e 13/116196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/276, 598/421.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 273/276,598/421
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 273/276,598/421, numerators are 273,598
Denominators are 276,421
The GCF of 273,598 is 13 .
LCM of 276,421 is 116196.
The greatest common factor of 273/276,598/421 = [GCF of 273,598]/[LCM of 276,421]= 13/116196
Therefore, the GCF of 273/276,598/421 is 13/116196.
To find the highest common factor of 273,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 273,598 is 13.
Lets's calculate GCF of 273,598
13 | 273, 598 |
21, 46 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 273
:1,3,7,13,21,39,91,273
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 273,598 . The biggest common factor number is the GCF number.
So the greatest common factor 273,598 is 13.
Lets's calculate LCM of 276,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 116196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/116196
Therefore, the GCF of Fractions 273/276,598/421 is 13/116196
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 276,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,421) x common factors =1 x 1 = 1
LCM(276,421) = ( 276 × 421 ) / 1
LCM(276,421) = 116196 / 1
LCM(276,421) = 116196
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 273,598?
The HCF of 273,598 is 13
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 273/276, 598/421?
Answer: GCF of Numerators as per given numbers 273/276, 598/421 is
GCF of Numerators i.e. for 273,598 is 13
LCM of denominators i.e. for 276,421 is 116196.
Thus, GCF of Fractions is 13/116196.Finally, GCF of Fractions for 273/276, 598/421 is 13/116196.