Use our free GCF of Fractions Calculator tool to compute the GCF of 151/450, 219/800 i.e 1/7200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/450, 219/800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/450,219/800
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 151/450,219/800, numerators are 151,219
Denominators are 450,800
The GCF of 151,219 is 1 .
LCM of 450,800 is 7200.
The greatest common factor of 151/450,219/800 = [GCF of 151,219]/[LCM of 450,800]= 1/7200
Therefore, the GCF of 151/450,219/800 is 1/7200.
To find the highest common factor of 151,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 151 are 1, 151
The factors of 219 are 1, 3, 73, 219
The HCF of 151,219 is 1.
Lets's calculate GCF of 151,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 151
:1,151
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 151,219 . The biggest common factor number is the GCF number.
So the greatest common factor 151,219 is 1.
Lets's calculate LCM of 450,800
2 | 450, 800 |
5 | 225, 400 |
5 | 45, 80 |
9, 16 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 9 x 16 = 7200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7200
Therefore, the GCF of Fractions 151/450,219/800 is 1/7200
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 450,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,800) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(450,800) x common factors =50 x 1 = 50
LCM(450,800) = ( 450 × 800 ) / 50
LCM(450,800) = 360000 / 50
LCM(450,800) = 7200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 151,219?
The HCF of 151,219 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 151/450, 219/800?
Answer: GCF of Numerators as per given numbers 151/450, 219/800 is
GCF of Numerators i.e. for 151,219 is 1
LCM of denominators i.e. for 450,800 is 7200.
Thus, GCF of Fractions is 1/7200.Finally, GCF of Fractions for 151/450, 219/800 is 1/7200.