Use our free GCF of Fractions Calculator tool to compute the GCF of 37/908, 54/345, 600/667 i.e 1/9084540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/908, 54/345, 600/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/908,54/345,600/667
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 37/908,54/345,600/667, numerators are 37,54,600
Denominators are 908,345,667
The GCF of 37,54,600 is 1 .
LCM of 908,345,667 is 9084540.
The greatest common factor of 37/908,54/345,600/667 = [GCF of 37,54,600]/[LCM of 908,345,667]= 1/9084540
Therefore, the GCF of 37/908,54/345,600/667 is 1/9084540.
To find the highest common factor of 37,54,600, 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 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The HCF of 37,54,600 is 1.
Lets's calculate GCF of 37,54,600
∴ 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 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 37,54,600 . The biggest common factor number is the GCF number.
So the greatest common factor 37,54,600 is 1.
Lets's calculate LCM of 908,345,667
23 | 908, 345, 667 |
908, 15, 29 |
∴ So the LCM of the given numbers is 23 x 908 x 15 x 29 = 9084540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9084540
Therefore, the GCF of Fractions 37/908,54/345,600/667 is 1/9084540
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 908,345,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,345,667) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(908,345,667) x common factors =1 x 23 = 23
LCM(908,345,667) = ( 908 × 345 × 667 ) / 23
LCM(908,345,667) = 208944420 / 23
LCM(908,345,667) = 9084540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,54,600?
The HCF of 37,54,600 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 37/908, 54/345, 600/667?
Answer: GCF of Numerators as per given numbers 37/908, 54/345, 600/667 is
GCF of Numerators i.e. for 37,54,600 is 1
LCM of denominators i.e. for 908,345,667 is 9084540.
Thus, GCF of Fractions is 1/9084540.Finally, GCF of Fractions for 37/908, 54/345, 600/667 is 1/9084540.