Use our free GCF of Fractions Calculator tool to compute the GCF of 71/868, 80/143, 457/877 i.e 1/108856748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/868, 80/143, 457/877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/868,80/143,457/877
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 71/868,80/143,457/877, numerators are 71,80,457
Denominators are 868,143,877
The GCF of 71,80,457 is 1 .
LCM of 868,143,877 is 108856748.
The greatest common factor of 71/868,80/143,457/877 = [GCF of 71,80,457]/[LCM of 868,143,877]= 1/108856748
Therefore, the GCF of 71/868,80/143,457/877 is 1/108856748.
To find the highest common factor of 71,80,457, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 457 are 1, 457
The HCF of 71,80,457 is 1.
Lets's calculate GCF of 71,80,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 457
:1,457
Greatest Common Factor
We found the factors 71,80,457 . The biggest common factor number is the GCF number.
So the greatest common factor 71,80,457 is 1.
Lets's calculate LCM of 868,143,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 108856748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108856748
Therefore, the GCF of Fractions 71/868,80/143,457/877 is 1/108856748
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 868,143,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,143,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,143,877) x common factors =1 x 1 = 1
LCM(868,143,877) = ( 868 × 143 × 877 ) / 1
LCM(868,143,877) = 108856748 / 1
LCM(868,143,877) = 108856748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,80,457?
The HCF of 71,80,457 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 71/868, 80/143, 457/877?
Answer: GCF of Numerators as per given numbers 71/868, 80/143, 457/877 is
GCF of Numerators i.e. for 71,80,457 is 1
LCM of denominators i.e. for 868,143,877 is 108856748.
Thus, GCF of Fractions is 1/108856748.Finally, GCF of Fractions for 71/868, 80/143, 457/877 is 1/108856748.