Use our free GCF of Fractions Calculator tool to compute the GCF of 40/41, 897/96, 179/647 i.e 1/2546592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/41, 897/96, 179/647.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/41,897/96,179/647
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 40/41,897/96,179/647, numerators are 40,897,179
Denominators are 41,96,647
The GCF of 40,897,179 is 1 .
LCM of 41,96,647 is 2546592.
The greatest common factor of 40/41,897/96,179/647 = [GCF of 40,897,179]/[LCM of 41,96,647]= 1/2546592
Therefore, the GCF of 40/41,897/96,179/647 is 1/2546592.
To find the highest common factor of 40,897,179, 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 897 are 1, 3, 13, 23, 39, 69, 299, 897
The factors of 179 are 1, 179
The HCF of 40,897,179 is 1.
Lets's calculate GCF of 40,897,179
∴ 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 897
:1,3,13,23,39,69,299,897
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 40,897,179 . The biggest common factor number is the GCF number.
So the greatest common factor 40,897,179 is 1.
Lets's calculate LCM of 41,96,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 2546592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2546592
Therefore, the GCF of Fractions 40/41,897/96,179/647 is 1/2546592
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 41,96,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,96,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,96,647) x common factors =1 x 1 = 1
LCM(41,96,647) = ( 41 × 96 × 647 ) / 1
LCM(41,96,647) = 2546592 / 1
LCM(41,96,647) = 2546592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,897,179?
The HCF of 40,897,179 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 40/41, 897/96, 179/647?
Answer: GCF of Numerators as per given numbers 40/41, 897/96, 179/647 is
GCF of Numerators i.e. for 40,897,179 is 1
LCM of denominators i.e. for 41,96,647 is 2546592.
Thus, GCF of Fractions is 1/2546592.Finally, GCF of Fractions for 40/41, 897/96, 179/647 is 1/2546592.