Use our free GCF of Fractions Calculator tool to compute the GCF of 399/971, 880/458 i.e 1/444718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/971, 880/458.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/971,880/458
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 399/971,880/458, numerators are 399,880
Denominators are 971,458
The GCF of 399,880 is 1 .
LCM of 971,458 is 444718.
The greatest common factor of 399/971,880/458 = [GCF of 399,880]/[LCM of 971,458]= 1/444718
Therefore, the GCF of 399/971,880/458 is 1/444718.
To find the highest common factor of 399,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 399,880 is 1.
Lets's calculate GCF of 399,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 399,880 . The biggest common factor number is the GCF number.
So the greatest common factor 399,880 is 1.
Lets's calculate LCM of 971,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 444718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444718
Therefore, the GCF of Fractions 399/971,880/458 is 1/444718
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 971,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,458) x common factors =1 x 1 = 1
LCM(971,458) = ( 971 × 458 ) / 1
LCM(971,458) = 444718 / 1
LCM(971,458) = 444718
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 399,880?
The HCF of 399,880 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 399/971, 880/458?
Answer: GCF of Numerators as per given numbers 399/971, 880/458 is
GCF of Numerators i.e. for 399,880 is 1
LCM of denominators i.e. for 971,458 is 444718.
Thus, GCF of Fractions is 1/444718.Finally, GCF of Fractions for 399/971, 880/458 is 1/444718.