Use our free GCF of Fractions Calculator tool to compute the GCF of 40/883, 243/205, 173/803 i.e 1/145355045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/883, 243/205, 173/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/883,243/205,173/803
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 40/883,243/205,173/803, numerators are 40,243,173
Denominators are 883,205,803
The GCF of 40,243,173 is 1 .
LCM of 883,205,803 is 145355045.
The greatest common factor of 40/883,243/205,173/803 = [GCF of 40,243,173]/[LCM of 883,205,803]= 1/145355045
Therefore, the GCF of 40/883,243/205,173/803 is 1/145355045.
To find the highest common factor of 40,243,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 173 are 1, 173
The HCF of 40,243,173 is 1.
Lets's calculate GCF of 40,243,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 40,243,173 . The biggest common factor number is the GCF number.
So the greatest common factor 40,243,173 is 1.
Lets's calculate LCM of 883,205,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 145355045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145355045
Therefore, the GCF of Fractions 40/883,243/205,173/803 is 1/145355045
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 883,205,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,205,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,205,803) x common factors =1 x 1 = 1
LCM(883,205,803) = ( 883 × 205 × 803 ) / 1
LCM(883,205,803) = 145355045 / 1
LCM(883,205,803) = 145355045
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,243,173?
The HCF of 40,243,173 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 40/883, 243/205, 173/803?
Answer: GCF of Numerators as per given numbers 40/883, 243/205, 173/803 is
GCF of Numerators i.e. for 40,243,173 is 1
LCM of denominators i.e. for 883,205,803 is 145355045.
Thus, GCF of Fractions is 1/145355045.Finally, GCF of Fractions for 40/883, 243/205, 173/803 is 1/145355045.