Use our free GCF of Fractions Calculator tool to compute the GCF of 455/174, 800/412 i.e 5/35844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/174, 800/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/174,800/412
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 455/174,800/412, numerators are 455,800
Denominators are 174,412
The GCF of 455,800 is 5 .
LCM of 174,412 is 35844.
The greatest common factor of 455/174,800/412 = [GCF of 455,800]/[LCM of 174,412]= 5/35844
Therefore, the GCF of 455/174,800/412 is 5/35844.
To find the highest common factor of 455,800, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The HCF of 455,800 is 5.
Lets's calculate GCF of 455,800
5 | 455, 800 |
91, 160 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 455,800 . The biggest common factor number is the GCF number.
So the greatest common factor 455,800 is 5.
Lets's calculate LCM of 174,412
2 | 174, 412 |
87, 206 |
∴ So the LCM of the given numbers is 2 x 87 x 206 = 35844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35844
Therefore, the GCF of Fractions 455/174,800/412 is 5/35844
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 174,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,412) x common factors =2 x 1 = 2
LCM(174,412) = ( 174 × 412 ) / 2
LCM(174,412) = 71688 / 2
LCM(174,412) = 35844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 455,800?
The HCF of 455,800 is 5
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 455/174, 800/412?
Answer: GCF of Numerators as per given numbers 455/174, 800/412 is
GCF of Numerators i.e. for 455,800 is 5
LCM of denominators i.e. for 174,412 is 35844.
Thus, GCF of Fractions is 5/35844.Finally, GCF of Fractions for 455/174, 800/412 is 5/35844.