Use our free GCF of Fractions Calculator tool to compute the GCF of 85/685, 450/143, 275/982 i.e 5/96191810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/685, 450/143, 275/982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/685,450/143,275/982
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 85/685,450/143,275/982, numerators are 85,450,275
Denominators are 685,143,982
The GCF of 85,450,275 is 5 .
LCM of 685,143,982 is 96191810.
The greatest common factor of 85/685,450/143,275/982 = [GCF of 85,450,275]/[LCM of 685,143,982]= 5/96191810
Therefore, the GCF of 85/685,450/143,275/982 is 5/96191810.
To find the highest common factor of 85,450,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 85,450,275 is 5.
Lets's calculate GCF of 85,450,275
5 | 85, 450, 275 |
17, 90, 55 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 85,450,275 . The biggest common factor number is the GCF number.
So the greatest common factor 85,450,275 is 5.
Lets's calculate LCM of 685,143,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 96191810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/96191810
Therefore, the GCF of Fractions 85/685,450/143,275/982 is 5/96191810
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 685,143,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,143,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,143,982) x common factors =1 x 1 = 1
LCM(685,143,982) = ( 685 × 143 × 982 ) / 1
LCM(685,143,982) = 96191810 / 1
LCM(685,143,982) = 96191810
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 85,450,275?
The HCF of 85,450,275 is 5
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 85/685, 450/143, 275/982?
Answer: GCF of Numerators as per given numbers 85/685, 450/143, 275/982 is
GCF of Numerators i.e. for 85,450,275 is 5
LCM of denominators i.e. for 685,143,982 is 96191810.
Thus, GCF of Fractions is 5/96191810.Finally, GCF of Fractions for 85/685, 450/143, 275/982 is 5/96191810.