Use our free GCF of Fractions Calculator tool to compute the GCF of 453/169, 467/319 i.e 1/53911 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/169, 467/319.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/169,467/319
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 453/169,467/319, numerators are 453,467
Denominators are 169,319
The GCF of 453,467 is 1 .
LCM of 169,319 is 53911.
The greatest common factor of 453/169,467/319 = [GCF of 453,467]/[LCM of 169,319]= 1/53911
Therefore, the GCF of 453/169,467/319 is 1/53911.
To find the highest common factor of 453,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 467 are 1, 467
The HCF of 453,467 is 1.
Lets's calculate GCF of 453,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 453,467 . The biggest common factor number is the GCF number.
So the greatest common factor 453,467 is 1.
Lets's calculate LCM of 169,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 53911
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53911
Therefore, the GCF of Fractions 453/169,467/319 is 1/53911
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 169,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,319) x common factors =1 x 1 = 1
LCM(169,319) = ( 169 × 319 ) / 1
LCM(169,319) = 53911 / 1
LCM(169,319) = 53911
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 453,467?
The HCF of 453,467 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 453/169, 467/319?
Answer: GCF of Numerators as per given numbers 453/169, 467/319 is
GCF of Numerators i.e. for 453,467 is 1
LCM of denominators i.e. for 169,319 is 53911.
Thus, GCF of Fractions is 1/53911.Finally, GCF of Fractions for 453/169, 467/319 is 1/53911.