Use our free GCF of Fractions Calculator tool to compute the GCF of 669/449, 376/638 i.e 1/286462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/449, 376/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 669/449,376/638
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 669/449,376/638, numerators are 669,376
Denominators are 449,638
The GCF of 669,376 is 1 .
LCM of 449,638 is 286462.
The greatest common factor of 669/449,376/638 = [GCF of 669,376]/[LCM of 449,638]= 1/286462
Therefore, the GCF of 669/449,376/638 is 1/286462.
To find the highest common factor of 669,376, we have to find the factors of both numbers and list the highest common factor.
The factors of 669 are 1, 3, 223, 669
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 669,376 is 1.
Lets's calculate GCF of 669,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 669
:1,3,223,669
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 669,376 . The biggest common factor number is the GCF number.
So the greatest common factor 669,376 is 1.
Lets's calculate LCM of 449,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 286462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286462
Therefore, the GCF of Fractions 669/449,376/638 is 1/286462
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 449,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,638) x common factors =1 x 1 = 1
LCM(449,638) = ( 449 × 638 ) / 1
LCM(449,638) = 286462 / 1
LCM(449,638) = 286462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 669,376?
The HCF of 669,376 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 669/449, 376/638?
Answer: GCF of Numerators as per given numbers 669/449, 376/638 is
GCF of Numerators i.e. for 669,376 is 1
LCM of denominators i.e. for 449,638 is 286462.
Thus, GCF of Fractions is 1/286462.Finally, GCF of Fractions for 669/449, 376/638 is 1/286462.