Use our free GCF of Fractions Calculator tool to compute the GCF of 50/70, 750/65, 612/150 i.e 2/13650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/70, 750/65, 612/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/70,750/65,612/150
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 50/70,750/65,612/150, numerators are 50,750,612
Denominators are 70,65,150
The GCF of 50,750,612 is 2 .
LCM of 70,65,150 is 13650.
The greatest common factor of 50/70,750/65,612/150 = [GCF of 50,750,612]/[LCM of 70,65,150]= 2/13650
Therefore, the GCF of 50/70,750/65,612/150 is 2/13650.
To find the highest common factor of 50,750,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 50,750,612 is 2.
Lets's calculate GCF of 50,750,612
2 | 50, 750, 612 |
25, 375, 306 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 50,750,612 . The biggest common factor number is the GCF number.
So the greatest common factor 50,750,612 is 2.
Lets's calculate LCM of 70,65,150
2 | 70, 65, 150 |
5 | 35, 65, 75 |
7, 13, 15 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 15 = 13650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13650
Therefore, the GCF of Fractions 50/70,750/65,612/150 is 2/13650
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 70,65,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,65,150) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(70,65,150) x common factors =5 x 10 = 50
LCM(70,65,150) = ( 70 × 65 × 150 ) / 50
LCM(70,65,150) = 682500 / 50
LCM(70,65,150) = 13650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,750,612?
The HCF of 50,750,612 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 50/70, 750/65, 612/150?
Answer: GCF of Numerators as per given numbers 50/70, 750/65, 612/150 is
GCF of Numerators i.e. for 50,750,612 is 2
LCM of denominators i.e. for 70,65,150 is 13650.
Thus, GCF of Fractions is 2/13650.Finally, GCF of Fractions for 50/70, 750/65, 612/150 is 2/13650.