Use our free GCF of Fractions Calculator tool to compute the GCF of 37/22, 519/43, 843/200 i.e 1/94600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/22, 519/43, 843/200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/22,519/43,843/200
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 37/22,519/43,843/200, numerators are 37,519,843
Denominators are 22,43,200
The GCF of 37,519,843 is 1 .
LCM of 22,43,200 is 94600.
The greatest common factor of 37/22,519/43,843/200 = [GCF of 37,519,843]/[LCM of 22,43,200]= 1/94600
Therefore, the GCF of 37/22,519/43,843/200 is 1/94600.
To find the highest common factor of 37,519,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 519 are 1, 3, 173, 519
The factors of 843 are 1, 3, 281, 843
The HCF of 37,519,843 is 1.
Lets's calculate GCF of 37,519,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 37,519,843 . The biggest common factor number is the GCF number.
So the greatest common factor 37,519,843 is 1.
Lets's calculate LCM of 22,43,200
2 | 22, 43, 200 |
11, 43, 100 |
∴ So the LCM of the given numbers is 2 x 11 x 43 x 100 = 94600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94600
Therefore, the GCF of Fractions 37/22,519/43,843/200 is 1/94600
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 22,43,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,43,200) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,43,200) x common factors =1 x 2 = 2
LCM(22,43,200) = ( 22 × 43 × 200 ) / 2
LCM(22,43,200) = 189200 / 2
LCM(22,43,200) = 94600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,519,843?
The HCF of 37,519,843 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 37/22, 519/43, 843/200?
Answer: GCF of Numerators as per given numbers 37/22, 519/43, 843/200 is
GCF of Numerators i.e. for 37,519,843 is 1
LCM of denominators i.e. for 22,43,200 is 94600.
Thus, GCF of Fractions is 1/94600.Finally, GCF of Fractions for 37/22, 519/43, 843/200 is 1/94600.