Use our free GCF of Fractions Calculator tool to compute the GCF of 40/179, 287/337, 953/280 i.e 1/16890440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/179, 287/337, 953/280.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/179,287/337,953/280
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 40/179,287/337,953/280, numerators are 40,287,953
Denominators are 179,337,280
The GCF of 40,287,953 is 1 .
LCM of 179,337,280 is 16890440.
The greatest common factor of 40/179,287/337,953/280 = [GCF of 40,287,953]/[LCM of 179,337,280]= 1/16890440
Therefore, the GCF of 40/179,287/337,953/280 is 1/16890440.
To find the highest common factor of 40,287,953, 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 287 are 1, 7, 41, 287
The factors of 953 are 1, 953
The HCF of 40,287,953 is 1.
Lets's calculate GCF of 40,287,953
∴ 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 287
:1,7,41,287
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 40,287,953 . The biggest common factor number is the GCF number.
So the greatest common factor 40,287,953 is 1.
Lets's calculate LCM of 179,337,280
Given numbers has no common factors except 1. So, there LCM is their product i.e 16890440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16890440
Therefore, the GCF of Fractions 40/179,287/337,953/280 is 1/16890440
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 179,337,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,337,280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,337,280) x common factors =1 x 1 = 1
LCM(179,337,280) = ( 179 × 337 × 280 ) / 1
LCM(179,337,280) = 16890440 / 1
LCM(179,337,280) = 16890440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,287,953?
The HCF of 40,287,953 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 40/179, 287/337, 953/280?
Answer: GCF of Numerators as per given numbers 40/179, 287/337, 953/280 is
GCF of Numerators i.e. for 40,287,953 is 1
LCM of denominators i.e. for 179,337,280 is 16890440.
Thus, GCF of Fractions is 1/16890440.Finally, GCF of Fractions for 40/179, 287/337, 953/280 is 1/16890440.