Use our free GCF of Fractions Calculator tool to compute the GCF of 2/55, 44/47, 80/958, 800/517 i.e 2/2476430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/55, 44/47, 80/958, 800/517.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/55,44/47,80/958,800/517
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 2/55,44/47,80/958,800/517, numerators are 2,44,80,800
Denominators are 55,47,958,517
The GCF of 2,44,80,800 is 2 .
LCM of 55,47,958,517 is 2476430.
The greatest common factor of 2/55,44/47,80/958,800/517 = [GCF of 2,44,80,800]/[LCM of 55,47,958,517]= 2/2476430
Therefore, the GCF of 2/55,44/47,80/958,800/517 is 2/2476430.
To find the highest common factor of 2,44,80,800, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 2,44,80,800 is 2.
Lets's calculate GCF of 2,44,80,800
2 | 2, 44, 80, 800 |
1, 22, 40, 400 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2
:1,2
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
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 2,44,80,800 . The biggest common factor number is the GCF number.
So the greatest common factor 2,44,80,800 is 2.
Lets's calculate LCM of 55,47,958,517
11 | 55, 47, 958, 517 |
47 | 5, 47, 958, 47 |
5, 1, 958, 1 |
∴ So the LCM of the given numbers is 11 x 47 x 5 x 1 x 958 x 1 = 2476430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2476430
Therefore, the GCF of Fractions 2/55,44/47,80/958,800/517 is 2/2476430
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 55,47,958,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,47,958,517) = 1
common factors(in case of two or more numbers have common factors) = 517
GCF(55,47,958,517) x common factors =1 x 517 = 517
LCM(55,47,958,517) = ( 55 × 47 × 958 × 517 ) / 517
LCM(55,47,958,517) = 1280314310 / 517
LCM(55,47,958,517) = 2476430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2,44,80,800?
The HCF of 2,44,80,800 is 2
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 2/55, 44/47, 80/958, 800/517?
Answer: GCF of Numerators as per given numbers 2/55, 44/47, 80/958, 800/517 is
GCF of Numerators i.e. for 2,44,80,800 is 2
LCM of denominators i.e. for 55,47,958,517 is 2476430.
Thus, GCF of Fractions is 2/2476430.Finally, GCF of Fractions for 2/55, 44/47, 80/958, 800/517 is 2/2476430.