Use our free GCF of Fractions Calculator tool to compute the GCF of 274/273, 453/465 i.e 1/42315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 274/273, 453/465.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 274/273,453/465
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 274/273,453/465, numerators are 274,453
Denominators are 273,465
The GCF of 274,453 is 1 .
LCM of 273,465 is 42315.
The greatest common factor of 274/273,453/465 = [GCF of 274,453]/[LCM of 273,465]= 1/42315
Therefore, the GCF of 274/273,453/465 is 1/42315.
To find the highest common factor of 274,453, we have to find the factors of both numbers and list the highest common factor.
The factors of 274 are 1, 2, 137, 274
The factors of 453 are 1, 3, 151, 453
The HCF of 274,453 is 1.
Lets's calculate GCF of 274,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 274
:1,2,137,274
Now, list down the factors of 453
:1,3,151,453
Greatest Common Factor
We found the factors 274,453 . The biggest common factor number is the GCF number.
So the greatest common factor 274,453 is 1.
Lets's calculate LCM of 273,465
3 | 273, 465 |
91, 155 |
∴ So the LCM of the given numbers is 3 x 91 x 155 = 42315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42315
Therefore, the GCF of Fractions 274/273,453/465 is 1/42315
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 273,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,465) x common factors =3 x 1 = 3
LCM(273,465) = ( 273 × 465 ) / 3
LCM(273,465) = 126945 / 3
LCM(273,465) = 42315
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 274,453?
The HCF of 274,453 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 274/273, 453/465?
Answer: GCF of Numerators as per given numbers 274/273, 453/465 is
GCF of Numerators i.e. for 274,453 is 1
LCM of denominators i.e. for 273,465 is 42315.
Thus, GCF of Fractions is 1/42315.Finally, GCF of Fractions for 274/273, 453/465 is 1/42315.