Use our free GCF of Fractions Calculator tool to compute the GCF of 450/161, 786/554 i.e 6/89194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/161, 786/554.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/161,786/554
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 450/161,786/554, numerators are 450,786
Denominators are 161,554
The GCF of 450,786 is 6 .
LCM of 161,554 is 89194.
The greatest common factor of 450/161,786/554 = [GCF of 450,786]/[LCM of 161,554]= 6/89194
Therefore, the GCF of 450/161,786/554 is 6/89194.
To find the highest common factor of 450,786, we have to find the factors of both numbers and list the highest common factor.
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 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 450,786 is 6.
Lets's calculate GCF of 450,786
2 | 450, 786 |
3 | 225, 393 |
75, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 450,786 . The biggest common factor number is the GCF number.
So the greatest common factor 450,786 is 6.
Lets's calculate LCM of 161,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 89194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/89194
Therefore, the GCF of Fractions 450/161,786/554 is 6/89194
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 161,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,554) x common factors =1 x 1 = 1
LCM(161,554) = ( 161 × 554 ) / 1
LCM(161,554) = 89194 / 1
LCM(161,554) = 89194
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 450,786?
The HCF of 450,786 is 6
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 450/161, 786/554?
Answer: GCF of Numerators as per given numbers 450/161, 786/554 is
GCF of Numerators i.e. for 450,786 is 6
LCM of denominators i.e. for 161,554 is 89194.
Thus, GCF of Fractions is 6/89194.Finally, GCF of Fractions for 450/161, 786/554 is 6/89194.