Use our free GCF of Fractions Calculator tool to compute the GCF of 867/546, 150/529 i.e 3/288834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/546, 150/529.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/546,150/529
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 867/546,150/529, numerators are 867,150
Denominators are 546,529
The GCF of 867,150 is 3 .
LCM of 546,529 is 288834.
The greatest common factor of 867/546,150/529 = [GCF of 867,150]/[LCM of 546,529]= 3/288834
Therefore, the GCF of 867/546,150/529 is 3/288834.
To find the highest common factor of 867,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 867,150 is 3.
Lets's calculate GCF of 867,150
3 | 867, 150 |
289, 50 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 867,150 . The biggest common factor number is the GCF number.
So the greatest common factor 867,150 is 3.
Lets's calculate LCM of 546,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 288834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/288834
Therefore, the GCF of Fractions 867/546,150/529 is 3/288834
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 546,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,529) x common factors =1 x 1 = 1
LCM(546,529) = ( 546 × 529 ) / 1
LCM(546,529) = 288834 / 1
LCM(546,529) = 288834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 867,150?
The HCF of 867,150 is 3
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 867/546, 150/529?
Answer: GCF of Numerators as per given numbers 867/546, 150/529 is
GCF of Numerators i.e. for 867,150 is 3
LCM of denominators i.e. for 546,529 is 288834.
Thus, GCF of Fractions is 3/288834.Finally, GCF of Fractions for 867/546, 150/529 is 3/288834.